If a = Matric[(3, -2),(4,-2)] and L =Matric [(1,0),(0,1)] Find K So that Asquare2 = Ka - 2i - Mathematics

if A = [(3, -2),(4,-2)] and l = Matric [(1,0),(0,1)]  find k so that A^2 = kA - 2I

Solution

Comparing the corresponding elements, we have:

3k -2 = 1

=> 3k = 3

=> k =1

Thus, the value of k is 1.

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NCERT Class 12 Maths
Chapter 3 Matrices
Q 17 | Page 82