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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

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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Chapter 9: Matrices - Exercise 9 (C) [Page 130]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 27.2 | Page 130

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