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If A = [48-2-4], prove that A2 = 0 - Mathematics and Statistics

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Question

If A = `[(4, 8),(-2, -4)]`, prove that A2 = 0

Sum

Solution

A2 = A · A

= `[(4, 8),(-2, -4)] [(4, 8),(-2, -4)]`

= `[(16 - 16, 32 - 32),(-8 + 8, -16 + 16)]`

= `[(0, 0),(0, 0)]`

= 0.

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Matrices - Properties of Matrix Multiplication
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Chapter 4: Determinants and Matrices - Exercise 4.6 [Page 94]

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