114 lines
2.0 KiB
Markdown
114 lines
2.0 KiB
Markdown
---
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id: 5a23c84252665b21eecc7e77
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title: 高斯消除
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challengeType: 5
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videoUrl: ''
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---
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# --description--
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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。
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# --hints--
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`gaussianElimination`应该是一个函数。
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```js
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assert(typeof gaussianElimination == 'function');
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```
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`gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")`应该返回一个数组。
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```js
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assert(
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Array.isArray(
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gaussianElimination(
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[
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[1, 1],
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[1, -1]
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],
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[5, 1]
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)
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)
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);
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```
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`gaussianElimination("+JSON.stringify(tests[0][0])+","+JSON.stringify(tests[0][1])+")`应返回`"+JSON.stringify(results[0])+"` 。
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```js
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assert.deepEqual(
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gaussianElimination(
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[
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[1, 1],
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[1, -1]
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],
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[5, 1]
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),
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[3, 2]
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);
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```
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`gaussianElimination("+JSON.stringify(tests[1][0])+","+JSON.stringify(tests[1][1])+")`应返回`"+JSON.stringify(results[1])+"` 。
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```js
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assert.deepEqual(
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gaussianElimination(
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[
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[2, 3],
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[2, 1]
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],
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[8, 4]
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),
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[1, 2]
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);
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```
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`gaussianElimination("+JSON.stringify(tests[2][0])+","+JSON.stringify(tests[2][1])+")`应返回`"+JSON.stringify(results[2])+"` 。
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```js
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assert.deepEqual(
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gaussianElimination(
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[
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[1, 3],
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[5, -2]
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],
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[14, 19]
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),
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[5, 3]
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);
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```
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`gaussianElimination("+JSON.stringify(tests[3][0])+","+JSON.stringify(tests[3][1])+")`应返回`"+JSON.stringify(results[3])+"` 。
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```js
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assert.deepEqual(
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gaussianElimination(
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[
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[1, 1],
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[5, -1]
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],
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[10, 14]
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),
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[4, 6]
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);
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```
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`gaussianElimination("+JSON.stringify(tests[4][0])+","+JSON.stringify(tests[4][1])+")`应返回`"+JSON.stringify(results[4])+"` 。
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```js
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assert.deepEqual(
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gaussianElimination(
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[
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[1, 2, 3],
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[4, 5, 6],
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[7, 8, 8]
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],
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[6, 15, 23]
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),
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[1, 1, 1]
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);
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```
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# --solutions--
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