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Find the Value of X Given that A2 = B a = 2 12 0 1 B = 4 X 0 1

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Question

Find the value of x given that A2  = B
A = `[(2, 12),(0 , 1)]` B = `[(4, x),(0, 1)]`

Sum
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Solution

A = `[(2, 12),(0 , 1)]`
∴ A2 = `[(2 , 12),(0, 1)][(2, 12),(0,1)]`
= `[(4 , 36),(0, 1)]`
∵ A2 = B (given)
∴ `[(4, 36),(0, 1)] = [(4, x),(0, 1)]`
∴ x = 36.

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Chapter 9: Matrices - Determine the following

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Determine the following | Q 11
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