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If a =`((5,A),(B,0))` Is Symmetric Matrix Show that a = B

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Question

if A =`((5,a),(b,0))` is symmetric matrix show that a = b

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Solution

A = `((5,a),(b,0))` given A is symmetric matrix

`A = A^T`

`[(5,a),(b,0)] = [(5,a),(b,0)]^T = [(5,b),(a,0)]`

`:. a = b`

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2017-2018 (March) Set 1

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