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If A=[3 1-1 2], show that A^2-5A+7I=0...

If `A=[3 1-1 2]`, show that `A^2-5A+7I=0`

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If A=[(3, 1),(-1 ,2)] , show that A^2-5A+7I=O . Hence, find A^(-1) .

If A=[[3 ,1],[-1, 2]] , show that A^2-5A+7I^2=O .

If A=[[3, 1],[-1 ,2]] , show that A^2-5A+7I=O . Use this to find A^4

If A=[(3, 1),( 1, 2)] , show that A^2-5A+5I=0 . Hence, find A^(-1) .

If A=[(1,2),(2,1)] show that A^(2)-3I=2A

If A=[[3,1],[-1,2]], I=[[1,0],[0,1]] and O=[[0,0],[0,0]] , show that A^2-5A+7I=0 . Hence find A^(-1) .

If A=[(1,1),(0,1)] , show that A^2=[(1, 2),( 0, 1)] and A^3=[(1 ,3 ),(0 ,1)] .

If A=[(3, 2, 0),( 1, 4 ,0 ),(0 ,0 ,5)] , show that A^2-7A+10 I=O .

If A=[(4, 5),( 2 ,1)] , then show that A-3I=2(I+3A^(-1))

For the matrix A=[1 1 1 1 2-3 2-1 3] . Show that A^3-6A^2+5A+11\ I_3=O . Hence, find A^(-1) .

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