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" 6/f "A=[[4,2],[-1,1]]," then "(A-2D)(A...

" 6/f "A=[[4,2],[-1,1]]," then "(A-2D)(A-3I)=

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Let A=[[4,2],[-1,1]] .Then (A-2I)(A-3I) is equal to

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(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).