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Show that the matrix A = [1-15-121513] is a symmetric matrix. - Mathematics

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Question

Show that the matrix  A = `[(1,-1,5),(-1,2,1),(5,1,3)]` is a symmetric matrix.

Sum

Solution

Given, A `= [(1,-1,5),(-1,2,1),(5,1,3)]`

So, A' `= [(1,-1,5),(-1,2,1),(5,1,3)]` 

∵ A' = A Hence, it is proved that the matrices are

`"A" = [(1,-1,5),(-1,2,1),(5,1,3)]` is a symmetric matrix.

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Chapter 3: Matrices - Exercise 3.3 [Page 89]

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NCERT Mathematics [English] Class 12
Chapter 3 Matrices
Exercise 3.3 | Q 7.1 | Page 89

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