If A = [1 0
-1 7] find k, so that
A2-8A-KI = 0 , where I is unit matrix.
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Answer:
k=-7
Step-by-step explanation:
A^2=[1 0 : -8 49]
A^2-8A-kI =0
[1 0 : -8 49] - [ 8 0 : -8 56] =[k 0 : 0 k ]
[-7 0 :0 -7 ] = [ k 0 : 0 k ]
k =-7
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