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---
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title: Gaussian elimination
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id: 5a23c84252665b21eecc7e77
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challengeType: 5
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videoUrl: ''
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localeTitle: 高斯消除
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---
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## Description
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<section id="description">编写一个函数来解决\(Ax = b \)使用高斯消除然后向后替换。 \(A \)是\(n \次n \)矩阵。此外,\(x \)和\(b \)是\(n \)乘以1个向量。要提高准确性,请使用部分旋转和缩放。 </section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>gaussianElimination</code>应该是一个函数。
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testString: assert(typeof gaussianElimination=='function');
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- text: '<code>gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")</code>应该返回一个数组。'
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testString: assert(Array.isArray(gaussianElimination([[1,1],[1,-1]], [5,1])));
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- text: '<code>gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")</code>应返回<code>"+JSON.stringify(results[0])+"</code> 。'
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testString: assert.deepEqual(gaussianElimination([[1,1],[1,-1]], [5,1]), [ 3, 2 ]);
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- text: '<code>gaussianElimination("+JSON.stringify(tests[1][0])+","+JSON.stringify(tests[1][1])+")</code>应返回<code>"+JSON.stringify(results[1])+"</code> 。'
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testString: assert.deepEqual(gaussianElimination([[2,3],[2,1]] , [8,4]), [ 1, 2 ]);
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- text: '<code>gaussianElimination("+JSON.stringify(tests[2][0])+","+JSON.stringify(tests[2][1])+")</code>应返回<code>"+JSON.stringify(results[2])+"</code> 。'
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testString: assert.deepEqual(gaussianElimination([[1,3],[5,-2]], [14,19]), [ 5, 3 ]);
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- text: '<code>gaussianElimination("+JSON.stringify(tests[3][0])+","+JSON.stringify(tests[3][1])+")</code>应返回<code>"+JSON.stringify(results[3])+"</code> 。'
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testString: assert.deepEqual(gaussianElimination([[1,1],[5,-1]] , [10,14]), [ 4, 6 ]);
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- text: '<code>gaussianElimination("+JSON.stringify(tests[4][0])+","+JSON.stringify(tests[4][1])+")</code>应返回<code>"+JSON.stringify(results[4])+"</code> 。'
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testString: assert.deepEqual(gaussianElimination([[1,2,3],[4,5,6],[7,8,8]] , [6,15,23]), [ 1, 1, 1 ]);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function gaussianElimination (A,b) {
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// Good luck!
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}
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```
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</div>
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### After Test
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<div id='js-teardown'>
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```js
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console.info('after the test');
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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/section>
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