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

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

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If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]] , then compute (A+B) and (B-C) . Also, verify that A + (B-C) = (A + B) - C .

Compute the indicated products: [[3,-1,3],[-1,0,2]][[2,-3],[1,0],[3,1]]

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

If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

Solve the matrix equation : ([1,1,x])([1,0,2],[0,2,1],[2,1,0])((1),(1),(1))=(0)

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0 +B_0

Show that the points (1,0,1),(1,1,0),(0,1,1) and (0,0,2) are coplanar.

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

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

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

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

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  7. If A = [[0,-tan alpha/2],[tan alpha/2,0]] and I is the identity matrix...

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

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

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  10. The book shop of a particular school has 10 dozen Chemistry books, 8 d...

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

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

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  13. Find the transpose of the following matrix: [[5],[1/2],[-1]]

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

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

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  16. 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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  17. 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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  18. If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify ...

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

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

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