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# Find the Value of X, Given that A^2 = B a = [(2, 12),(0, 1)] and B = [(4, X),(0, 1)] - ICSE Class 10 - Mathematics

#### Question

Find the value of x, given that A^2 = B

A = [(2, 12),(0, 1)] and B = [(4, x),(0, 1)]

#### Solution

A = [(2, 12),(0, 1)]

A^2 = [(2, 12),(0, 1)][(2, 12),(0, 1)] = [(4 + 0, 24 + 12),(0 + 0,0 + 1)] = [(4, 36),(0, 1)]

Given A^2 = B

∴[(4, 36),(0, 1)] = [(4, x),(0, 1)]

Comparing the corresponding elements we get

x = 36

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Solution Find the Value of X, Given that A^2 = B a = [(2, 12),(0, 1)] and B = [(4, X),(0, 1)] Concept: Matrices Examples.
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