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Solution
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Solution provided by AtoZmath.com
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is Symmetric Matrix calculator
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1. `[[1,2,3],[2,5,6],[3,6,9]]` 2. `[[1,3,3],[2,5,6],[3,6,9]]`
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Example1. is Symmetric Matrix ? `[[1,2,3],[2,5,6],[3,6,9]]`Solution:A square matrix `A=[a_(ij)]` is said to be a symmetric if `A = A^T` i.e. `a_(ij) = a_(ji)` for all i,j. `A` | = | | `1` | `2` | `3` | | | `2` | `5` | `6` | | | `3` | `6` | `9` | |
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`A^T` | = | | `1` | `2` | `3` | | | `2` | `5` | `6` | | | `3` | `6` | `9` | |
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| = | | `1` | `2` | `3` | | | `2` | `5` | `6` | | | `3` | `6` | `9` | |
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Here, `A` and `A^T` are equal, so `A` is a symmetric matrix
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