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If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0...

If `f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]]`
Find `f(-x)`

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] find the values of x and y.

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  2. Given 3[[x,y],[z,w]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

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  3. If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

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

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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. Find A^2-5A+6I, if A=[[2,0,1],[2,1,3],[1,-1,0]]

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  7. Consider the matrices A=[[2,3],[4,5]] Prove thatA^2-7A-2I=0

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  8. If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]], find k so that A^2=kA-2I

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  9. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

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  10. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  11. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  12. The bookshop of a particular school has 10 dozen chemistry books, 8 do...

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  13. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nx...

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

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  15. Consider A = [(4,0,-1),(0,8,4),(-1,4,9)] Find A^T

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  16. Express A=[[7,3,-5],[0,1,5],[-2,7,3]] as the sum of a symmetric and a ...

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  17. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A^T

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  18. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  19. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  20. Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

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