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If A=[{:(2,-2),(-3," "4):}] then find (-...

If `A=[{:(2,-2),(-3," "4):}]` then find `(-A^(2)+6A).`

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Prove that : A^(2)-6A+17I_(2)=0 . When A=[{:(2,-3),(3,4):}] Also find A^(-1) .

if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2A+B.

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If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=0 and hence find A^(-1) .

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Evaluate : if possible (i) [3,2] [{:(,2),(,0):}] (ii) [1 , -2] [{:(,-2,3),(,-1,4):}] (iii) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}] (iv) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}]