---
title: Gaussian elimination
id: 5a23c84252665b21eecc7e77
challengeType: 5
videoUrl: ''
localeTitle: 高斯消除
---
## 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。
## Instructions
## Tests
```yml
tests:
- text: gaussianElimination应该是一个函数。
testString: 'assert(typeof gaussianElimination=="function","gaussianElimination should be a function.");'
- text: 'gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")应该返回一个数组。'
testString: 'assert(Array.isArray(gaussianElimination(tests[0][0],tests[0][1])),"gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+") should return an array.");'
- text: 'gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")应返回"+JSON.stringify(results[0])+" 。'
testString: 'assert.deepEqual(gaussianElimination(tests[0][0],tests[0][1]),results[0],"gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+") should return "+JSON.stringify(results[0])+".");'
- text: 'gaussianElimination("+JSON.stringify(tests[1][0])+","+JSON.stringify(tests[1][1])+")应返回"+JSON.stringify(results[1])+" 。'
testString: 'assert.deepEqual(gaussianElimination(tests[1][0],tests[1][1]),results[1],"gaussianElimination("+JSON.stringify(tests[1][0])+","+JSON.stringify(tests[1][1])+") should return "+JSON.stringify(results[1])+".");'
- text: 'gaussianElimination("+JSON.stringify(tests[2][0])+","+JSON.stringify(tests[2][1])+")应返回"+JSON.stringify(results[2])+" 。'
testString: 'assert.deepEqual(gaussianElimination(tests[2][0],tests[2][1]),results[2],"gaussianElimination("+JSON.stringify(tests[2][0])+","+JSON.stringify(tests[2][1])+") should return "+JSON.stringify(results[2])+".");'
- text: 'gaussianElimination("+JSON.stringify(tests[3][0])+","+JSON.stringify(tests[3][1])+")应返回"+JSON.stringify(results[3])+" 。'
testString: 'assert.deepEqual(gaussianElimination(tests[3][0],tests[3][1]),results[3],"gaussianElimination("+JSON.stringify(tests[3][0])+","+JSON.stringify(tests[3][1])+") should return "+JSON.stringify(results[3])+".");'
- text: 'gaussianElimination("+JSON.stringify(tests[4][0])+","+JSON.stringify(tests[4][1])+")应返回"+JSON.stringify(results[4])+" 。'
testString: 'assert.deepEqual(gaussianElimination(tests[4][0],tests[4][1]),results[4],"gaussianElimination("+JSON.stringify(tests[4][0])+","+JSON.stringify(tests[4][1])+") should return "+JSON.stringify(results[4])+".");'
```
## Challenge Seed
```js
function gaussianElimination (A,b) {
// Good luck!
}
```
### After Test
```js
console.info('after the test');
```
## Solution
```js
// solution required
```