Verify that A=[[a,b],[c,d]] satisfies ...

Verify that `A=[[a,b],[c,d]]`
satisfies the equation `A^2-(a+d)A+(ad-bc) I=0` where `I` is the `2`x`2` unit matrix.

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ARIHANT PRAKASHAN-MATRICES-Chapter Test ( 4 Mark Questions)

Construct a 2xx3 matrix having elements given by (i) a(ij)=(i)/(j) ...
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If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix...
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Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...
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If A'=[{:(3,4),(-1,2),(0,1):}] and B=[{:(-1,2,1),(1,2,3):}] then verif...
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If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...
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Find inverse of the following matrices by elementary row/column operat...
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Using elementary column transformation find the inverse of the matrix ...
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