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Question

For what values of a and b if A = B, where

A=a+43b8-6, B=2a+2b2+28b2-5b

Disclaimer: There is a misprint in the question, b2 − 5b should be written instead of b2 − 56.

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Solution

​​As the given matrices A and B are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get

a + 4 = 2a + 2 3b = b2 + 2
8 = 8 −6 = b2 − 5b

On simplifying, we get
a = 2 and the common value of b = 2.

Hence, the values of a and b are 2, 2.

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