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

Sum

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

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.

Concept: Matrices - Properties of Matrix Multiplication
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Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Determinants and Matrices
Exercise 4.6 | Q 5 | Page 94