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If A = [21-101-2], Find A . At where At is the transpose of matrix A. - Mathematics

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Question

If A = `[(2, 1, -1),(0, 1, -2)]`, Find A . At where At is the transpose of matrix A.

Sum
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Solution

A =`[(2, 1, -1),(0, 1, -2)]`

At = `[(2, 0),(1, 1),(-1, -2)]`

A . At = `[(2, 1, -1),(0, 1, -2)][(2, 0),(1, 1),(-1, -2)]`

= `[(4 + 1 + 1, 0 + 1 + 2),(0 + 1 + 2, 0 + 1 + 4)]`

= `[(6, 3),(3, 5)]`

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