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For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither. [12-52-3-4-549] - Mathematics and Statistics

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Sum

For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.

`[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`

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Solution

Let A = `[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`

∴ AT = `[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`

∴ AT = A i.e., A = AT
∴ A is a symmetric matrix.

Concept: Algebra of Matrices
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