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# If A = [(3,X),(0,1)], B = [(9,16),(0,-y)], Find X and Y Where A^2 = B - ICSE Class 10 - Mathematics

#### Question

if A = [(3,x),(0,1)], B = [(9,16),(0,-y)], Find x and y  where A^2 = B

#### Solution

Given A = [(3,x),(0,1)], B = [(9,16),(0,-y)] and A^2 = B

Now A^2 =  A xx A = [(3, x),(0,1) ]xx [(3,x),(0,1)] = [(9, 3x + x),(0,1)] = [(9,4x),(0,1)]

We have A^2 = B

Two matrices are equal if each and every corresponding element is equal.

Thus [(9,4x),(0,1)] = [(9,16),(0,-y)]

=> 4x = 16 and 1 = -y

=> x = 4 and y = -1

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#### APPEARS IN

2014-2015 (March) (with solutions)
Question 2.1 | 3.00 marks

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Solution If A = [(3,X),(0,1)], B = [(9,16),(0,-y)], Find X and Y Where A^2 = B Concept: Matrices Examples.
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