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Submitted URL: https://matrixcalc.org/ko/slu.html#solve-using-inverse-matrix-method%28%7b%7b2%2e5,-1,-1%2e5,10%7d,%7b1,-7,2%2e7,0%7d,%...
Effective URL: https://matrixcalc.org/ko/slu.html
Submission: On April 08 via api from US — Scanned from NL
Effective URL: https://matrixcalc.org/ko/slu.html
Submission: On April 08 via api from US — Scanned from NL
Form analysis 1 forms found in the DOM
<form class="main-form" data-i="1">
<fieldset>
<legend>연립 방정식:</legend>
<div class="insert-table matrix-table" data-id="A" data-sizes="4x5" data-type="system" data-i="1" data-matrix-table="A" dropzone="copy string:text/plain string:application/mathml-presentation+xml">
<div data-for="A" tabindex="-1" class="matrix-table-inner" dir="ltr" data-i="1">
<div class="table-container" hidden="" data-i="1">
<math>
<mrow>
<mo>{</mo>
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<mi><span class="matrix-table-cell" title="a_(1,1)" data-i="1">
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<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(1,3)" data-i="1">
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<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(1,4)" data-i="1">
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<div id="A-0-3=0"><span class="whitespace"> </span></div>
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<mrow>
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<mo form="infix">=</mo>
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</span>
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<mi><span class="matrix-table-cell" title="a_(2,1)" data-i="1">
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<div id="A-1-0=0"><span class="whitespace"> </span></div>
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</span>
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<mo></mo>
<mrow>
<msub>
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<mtd data-cell-state="coefficient:x_2:1" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(2,2)" data-i="1">
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<mo></mo>
<mrow>
<msub>
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<mtd data-cell-state="coefficient:x_3:2" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(2,3)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-1-2=0"><span class="whitespace"> </span></div>
</div><input type="text" id="A-1-2" name="A-1-2" autocapitalize="off" autocomplete="off" spellcheck="false" inputmode="" class="matrix-table-input unfocused-placeholder far" data-for="A" enterkeyhint="enter"
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</span>
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</span></mi>
<mo></mo>
<mrow>
<msub>
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<mtd data-cell-state="coefficient:x_4:3" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(2,4)" data-i="1">
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<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-1-3=0"><span class="whitespace"> </span></div>
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</span>
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<mo form="infix">=</mo>
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<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
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</span>
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<mi><span class="matrix-table-cell" title="a_(3,1)" data-i="1">
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<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-2-0=0"><span class="whitespace"> </span></div>
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<mo form="infix">+</mo>
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<span class="a-input enabled" data-i="1" dir="ltr" lang="">
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<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(3,4)" data-i="1">
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<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
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</span>
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<mo form="infix">=</mo>
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<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
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</span>
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<mo></mo>
<mrow>
<mtext> </mtext>
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<mi><span class="matrix-table-cell" title="a_(4,1)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-3-0=0"><span class="whitespace"> </span></div>
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</span>
</span>
</span></mi>
<mo></mo>
<mrow>
<msub>
<mi>x</mi>
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</msub>
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<mtd data-cell-state="coefficient:x_2:1" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(4,2)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-3-1=0"><span class="whitespace"> </span></div>
</div><input type="text" id="A-3-1" name="A-3-1" autocapitalize="off" autocomplete="off" spellcheck="false" inputmode="" class="matrix-table-input unfocused-placeholder far" data-for="A" enterkeyhint="enter"
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</span>
</span>
</span></mi>
<mo></mo>
<mrow>
<msub>
<mi>x</mi>
<mn>2</mn>
</msub>
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<mtd data-cell-state="coefficient:x_3:2" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(4,3)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-3-2=0"><span class="whitespace"> </span></div>
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</span>
</span>
</span></mi>
<mo></mo>
<mrow>
<msub>
<mi>x</mi>
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</mrow>
</mtd>
<mtd data-cell-state="coefficient:x_4:3" style="padding: 0px;">
<mo form="infix">+</mo>
<mi><span class="matrix-table-cell" title="a_(4,4)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-3-3=0"><span class="whitespace"> </span></div>
</div><input type="text" id="A-3-3" name="A-3-3" autocapitalize="off" autocomplete="off" spellcheck="false" inputmode="" class="matrix-table-input unfocused-placeholder far" data-for="A" enterkeyhint="enter"
placeholder="" pattern="[\p{Decimal_Number}\p{Punctuation}\p{Math}\p{Script=Latin}\p{Script=Greek}\p{Other_Number}]+" aria-label="a 4 4" style="max-width: 6.333ch; min-width: 6.333ch;" data-i="1">
</span>
</span>
</span></mi>
<mo></mo>
<mrow>
<msub>
<mi>x</mi>
<mn>4</mn>
</msub>
</mrow>
</mtd>
<mtd data-cell-state="constant:undefined:4" style="padding: 0px;">
<mo form="infix">=</mo>
<mi><span class="matrix-table-cell" title="a_(4,5)" data-i="1">
<span>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: right; padding: 0px; margin: 3px 2px 1px 4px;">
<div id="A-3-4=0"><span class="whitespace"> </span></div>
</div><input type="text" id="A-3-4" name="A-3-4" autocapitalize="off" autocomplete="off" spellcheck="false" inputmode="" class="matrix-table-input unfocused-placeholder far" data-for="A" enterkeyhint="enter"
placeholder="" pattern="[\p{Decimal_Number}\p{Punctuation}\p{Math}\p{Script=Latin}\p{Script=Greek}\p{Other_Number}]+" aria-label="a 4 5" style="max-width: 6.333ch; min-width: 6.333ch;" data-i="1">
</span>
</span>
</span></mi>
<mo></mo>
<mrow>
<mtext> </mtext>
</mrow>
</mtd>
</mtr>
</mtable>
</mrow>
</mrow>
</math>
</div>
<div class="textarea-container" data-i="1">
<math>
<mrow>
<mo style="transform: scale(1.52858, 5.45956);">{</mo>
<mrow style="padding: 0.125em 0;">
<mi>
<span class="a-input enabled" data-i="1" dir="ltr" lang="">
<div translate="no" inert="inert" dir="ltr" style="font-size: 15px; font-family: Consolas, monospace; font-weight: 400; line-height: 20px; text-align: start; padding: 2px 0px 0px 2px; margin: 2px;">
<div id="A-textarea=0"><span class="whitespace"> </span></div>
</div><textarea id="A-textarea" name="A-textarea" wrap="off" autocapitalize="off" autocomplete="off" spellcheck="false" class="matrix-table-textarea unfocused-placeholder" placeholder="-2x+2y-3z=0 -2 2 -3 0
-x+ y-3z=0 또는 -1 1 -3 0
2x+0y- z=0 2 0 -1 0
" data-i="1" cols="36" style="min-height: 6em; min-width: 1ch;"></textarea>
</span>
</mi>
</mrow>
</mrow>
</math>
</div>
</div>
<div role="group"><button type="button" aria-pressed="false" class="swap-mode-button" data-i="1">셀</button><button type="button" class="upload-image" hidden="" title="행렬이 있는 이미지 업로드 (참고: 잘 작동하지 않을 수 있습니다)" data-i="1"><span class="icon"
data-i="1"></span></button><input type="file" name="upload" accept="image/*" hidden=""><button type="button" class="undo-button" disabled="" title="undo" data-i="1">↶</button><button type="button" class="redo-button" disabled=""
title="redo" data-i="1">↷</button><button type="button" class="clear-table-button" title="지우기" data-i="1"><span class="icon" data-i="1"></span></button><span class="div-nowrap" data-i="1"><button type="button"
class="increment-size-button resize-table-button" data-increment="+1" data-i="1" disabled="">+</button><button type="button" class="decrement-size-button resize-table-button" data-increment="-1" data-i="1" disabled="">−</button></span>
</div>
</div>
</fieldset>
<div style="margin-bottom: 2ex;">
<select name="solveExpression" class="an-autocomplete" autocomplete="on" style="width:32ch;max-width:90vw;" data-i="1">
<option value="solve-using-Gaussian-elimination A">가우스 소거법으로 풀기</option>
<option value="solve-using-Gauss-Jordan-elimination A">가우스-조던 소거법으로 풀기</option>
<option value="solve-using-Cramer's-rule A">크래머 공식으로 풀기</option>
<option value="solve-using-inverse-matrix-method A">역행렬을 사용하여 풀기</option>
<option value="solve-using-Montante-method A">Montante의 방법 (Bareiss 알고리즘)</option>
<option value="solve-using-least-squares-method A">선형 최소 제곱법으로 해결</option>
<option value="analyse-compatibility A">호환성 테스트</option>
</select><button type="submit" formnovalidate="formnovalidate">풀이</button>
</div>
</form>Text Content
Matrix calculator
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행렬 계산기연립 선형 방정식 풀기행렬식 계산기고유값 계산기풀이의 예Wikipedia : 행렬
광고 숨기기 광고 표시
연립 선형 방정식 풀기
입력 필드에 연립 방정식의 계수를 입력하십시오. 방정식에 들어 있지 않는 변수의 셀은 공란으로 비워 두십시오. 분수를 입력하려면 / : 1/3
을 사용하십시오.
연립 방정식:
{
x1+
x2+
x3+
x4=
x1+
x2+
x3+
x4=
x1+
x2+
x3+
x4=
x1+
x2+
x3+
x4=
{
셀↶↷+−
가우스 소거법으로 풀기 가우스-조던 소거법으로 풀기 크래머 공식으로 풀기 역행렬을 사용하여 풀기 Montante의 방법 (Bareiss
알고리즘) 선형 최소 제곱법으로 해결 호환성 테스트 풀이
소수 표시, 분수 자릿수: 유효숫자의 수:
↶지우기
1. 삽입 A
삽입 B
역행렬 법에 의한 해
A⋅X=B
A=(52−1−321−72710322710−325)
B=(1000)
A−1=(62105−38231−167738231−50231−10771677−1077−2077)
세부 (Montante의 방법 (Bareiss 알고리즘))
세부 (가우스-조던 소거)
세부 (수반행렬 사용)
…
X=A−1⋅B=(62105−38231−167738231−50231−10771677−1077−2077)⋅(1000)=(1242138023116077)
* 연립 방정식 입력 방법 표시
2x-2y+z=-3 x+3y-2z=1 3x-y-z=2
이 계산기는 가우스 소거법, 역행렬 법 또는 크래머 법칙을 사용하여 연립 선형 방정식을 풉니다. 또한 Rouché-Capelli 정리를 사용하여
연립 선형 방정식 (호환성 분석)에서 다수의 해를 계산할 수 있습니다.
* 비 제곱 행렬을 입력하려면 여분의 셀을 비워 두십시오.
* (유한 및 순환) 소수: 1/3, 3.14, -1.3(56), or 1.2e-4 또는 산술식: 2/3+3*(10-4), (1+x)/y^2,
2^0.5 (=2), 2^(1/3), 2^n, sin(phi), cos(3.142rad), a_1, or (root of x^5-x-1
near 1.2)을 사용할 수 있습니다.
* (유한 및 순환) 소수:
1/3, 3.14, -1.3(56), or 1.2e-4
* 수학적 표현:
2/3+3*(10-4), (1+x)/y^2, 2^0.5 (=2), 2^(1/3), 2^n, sin(phi),
cos(3.142rad), a_1, or (root of x^5-x-1 near 1.2)
* 행렬 리터럴:
{{1,3},{4,5}}
* 연산자:
+, -, *, /, \, !, ^, ^{*}, ,, ;, ≠, =, ⩾, ⩽, >, and <
* 함수:
sqrt, cbrt, exp, log, abs, conjugate, arg, min, max, gcd, rank, adjugate,
inverse, determinant, transpose, pseudoinverse, cos, sin, tan, cot, cosh,
sinh, tanh, coth, arccos, arcsin, arctan, arccot, arcosh, arsinh, artanh,
arcoth, derivative, factor, and resultant
* 단위:
rad, deg
* 특수 기호:
* pi, e, i — 수학 상수
* k, n — 정수
* I 또는 E — 단위 행렬
* X, Y — 행렬 기호
* ↵ 입력, 스페이스, ←↑↓→, 뒤로가기, and 삭제를 사용하여 셀과 셀 사이를 이동하며 Ctrl⌘ Cmd+C/Ctrl⌘ Cmd+V 로
행렬을 복사 / 붙여 넣기하십시오.
* 결과에서 또는 텍스트 편집기에서 행렬을 드래그 앤 드롭.
* 행렬에 관한 더 자세한 내용은 Wikipedia를 참조하십시오.
또는
matri-tri-ca@yandex.ru
☕ Support
Thanks to:
* Philip Petrov (https://cphpvb.net) for Bulgarian translation
* Manuel Rial Costa for Galego translation
* Shio Kun for Chinese translation
* Petar Sokoloski for Macedonian translation
* Đoàn Phan Tùng Dương (@_q5ca) for Vietnamese translation
* Rıfkı Kürşat Vuruşan for Turkish translation
* Ousama Malouf and Yaseen Ibrahim for Arabic translation
* Marcel Artz - improving of the German translation
* Marc Gisbert Juàrez - fixing the translation into Catalan
( )
( )
셀↶↷+−
⌨−/()√