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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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SHARAM PUBLICATION-MODEL QUESTION PAPER 12-EXERCISE
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  2. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  9. If y^2cot x = x^2 coty then find (dy)/(dx)

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