---
id: 5a23c84252665b21eecc7e77
challengeType: 5
videoUrl: ''
title: 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');
- 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([[1,1],[1,-1]], [5,1])));
- text: 'gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")应返回"+JSON.stringify(results[0])+" 。'
testString: assert.deepEqual(gaussianElimination([[1,1],[1,-1]], [5,1]), [ 3, 2 ]);
- text: 'gaussianElimination("+JSON.stringify(tests[1][0])+","+JSON.stringify(tests[1][1])+")应返回"+JSON.stringify(results[1])+" 。'
testString: assert.deepEqual(gaussianElimination([[2,3],[2,1]] , [8,4]), [ 1, 2 ]);
- text: 'gaussianElimination("+JSON.stringify(tests[2][0])+","+JSON.stringify(tests[2][1])+")应返回"+JSON.stringify(results[2])+" 。'
testString: assert.deepEqual(gaussianElimination([[1,3],[5,-2]], [14,19]), [ 5, 3 ]);
- text: 'gaussianElimination("+JSON.stringify(tests[3][0])+","+JSON.stringify(tests[3][1])+")应返回"+JSON.stringify(results[3])+" 。'
testString: assert.deepEqual(gaussianElimination([[1,1],[5,-1]] , [10,14]), [ 4, 6 ]);
- text: 'gaussianElimination("+JSON.stringify(tests[4][0])+","+JSON.stringify(tests[4][1])+")应返回"+JSON.stringify(results[4])+" 。'
testString: assert.deepEqual(gaussianElimination([[1,2,3],[4,5,6],[7,8,8]] , [6,15,23]), [ 1, 1, 1 ]);
```
## Challenge Seed
```js
function gaussianElimination (A,b) {
// Good luck!
}
```
### After Test
```js
console.info('after the test');
```
## Solution
```js
// solution required
```
/section>