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If f(x)=[[cos x,-sin x,0],[sin x,cos x,0...

If `f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]]` , show that `f(x).f(y)=f(x+y)`

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PSEB-MATRICES-Exercise
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  3. If f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] , show that f(x).f(...

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  4. Show that: [[5,-1],[6,7]][[2,1],[3,4]] ne [[2,1],[3,4]][[5,-1],[6,7]]

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  5. Show that: [[1,2,3],[0,1,0],[1,1,0]][[-1,1,0],[0,-1,1],[2,3,4]] ne [[...

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  6. If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I.

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  7. If A = [[1,0,2],[0,2,1],[2,0,3]] , prove that A^3 -6A^2 +7A + 2I = 0

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

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  14. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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