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If A = [[0,-tan alpha/2],[tan alpha/2,0]...

If `A = [[0,-tan alpha/2],[tan alpha/2,0]]` and I is the identity matrix of order 2, show that `I + A = (I - A)[[cos alpha,-sin alpha],[sin alpha,cos alpha]]`

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PSEB-MATRICES-Exercise
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  2. If (A=[[3,-2],[4,-2]]), find K such that (A^2=KA - 2I2).

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  10. Find the transpose of the following matrix : [[1,-1],[2,3]]

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  11. Find the transpose of the following matrix: [[-1,5,6],[sqrt3,5,6],[2,...

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  12. If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] ...

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  13. If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...

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  14. If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify ...

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  15. IfA' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify t...

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  16. If A = [[-2,3],[1,2]] and B = [[-1,0],[1,2]] , then find (A + 2B)'

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  17. For the matrices A and B, verify that (AB)' = B'A', where : A = [[1],[...

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  18. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

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  20. If A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]], then verify tha...

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