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

If (`A=[[3,-2],[4,-2]]`), find K such that (`A^2=KA - 2I_2`).

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

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

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. 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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  15. If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify ...

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

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

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

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

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

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