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Given A = [-360-9] and At is its transpose matrix. Find At-13A - Mathematics

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Question

Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `A^t - 1/3 A`

Sum

Solution

`A^t - 1/3 A`

= `[(-3, 0),(6, -9)] - 1/3 [(-3, 6),(0, -9)]`

= `[(-3, 0),(6, -9)] - [(-1, 2),(0, -3)]`

= `[(-3 - (-1), 0 - 2),(6 - 0, -9 - (-3))]`

= `[(-3 + 1, -2),(6, -9 + 3)]`

= `[(-2, -2),(6, -6)]`

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Chapter 9: Matrices - Exercise 9 (B) [Page 122]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (B) | Q 7.4 | Page 122

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