If A = (0, 2),(5, B = (1, -1),(3, 2) and I is Unit Matrix of Order 2 X 2 Find B^2 - Mathematics

Sum

If A = [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is unit matrix of order 2 x 2 find B^2A

Solution

B^2 = [(1, -1),(3, 2)][(1, -1), (3, 2)]

= [(1- 3, -1-2),(3 + 6, -3 + 4)]

= [(-2 ,-3),(9, 1)]

B^2A = [(-2, -3),(9, 1)][(0, 2),(5, -2)]

= [(0 - 15, -4 + 6),(0+ 5, 18 - 2)]

= [(-15, 2),(5, 16)]

Concept: Addition and Subtraction of Matrices
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Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 2.6 | Page 129