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If A = [5-34-3-21], prove that (AT)T = A. - Mathematics and Statistics

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Question

If A = `[(5, -3),(4, -3),(-2, 1)]`, prove that (AT)T = A.

Sum

Solution

A = `[(5, -3),(4, -3),(-2, 1)]`

∴ AT = `[(5, 4, -2),(-3, -3, 1)]`

∴ (AT)T = `[(5, -3),(4, -3),(-2, 1)]`
A.

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Chapter 2: Matrices - Exercise 2.4 [Page 59]

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