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If A = [[costheta,sintheta],[-sintheta,c...

If `A = [[costheta,sintheta],[-sintheta,costheta]]` then prove that `A^n = [[cosntheta,sinntheta],[-sinntheta,cosntheta]], n in N`

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PSEB-MATRICES-Exercise
  1. If A = [[costheta,sintheta],[-sintheta,costheta]] then prove that A^n...

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  2. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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  3. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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  4. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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  5. If a matrix has 24 elements, what are the possible orders it can have?...

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  6. If a matrix has 18 elements, what are the possible orders it can have?...

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  7. Construct a 2xx2 matrix, A=[aij] whose elements are given by:: aij = (...

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  8. Construct 2xx2 matrix A = [aij] whose elements are given by aij = i/j.

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  9. Construct a 2xx2 matrix, A=[aij] whose elements are given by:: aij = (...

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  10. Construct a 3xx4 matrix, whose elements are given by: aij = 1/2|-3i +...

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  11. Construct a 3xx4 matrix, whose elements are given by: aij = 2i -j

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  12. Find the values of x, y and z from the following equation: [[4,3],[x,5...

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  13. Find the values of x, y and z from the following equation: [[x+y,2],[5...

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  14. Find the values of x, y and z from the following equation: [[x+y+z],[x...

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  15. Find the values of a, b, c and d from the equation : [[a-b,2a+c],[2a-b...

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  16. A = [aij]m ×n is a square matrix, if:

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  17. Which of the given values of x and y make the following pair of matric...

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  18. The number of all possible matrices of order 3xx3 with each entry 0 o...

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  19. Let A = [[2,4],[3,2]], B = [[1,3],[-2,5]], C = [[-2,5],[3,4]], Find th...

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  20. Let A = [[2,4],[3,2]], B = [[1,3],[-2,5]], C = [[-2,5],[3,4]], Find th...

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  21. Let A = [[2,4],[3,2]], B = [[1,3],[-2,5]], C = [[-2,5],[3,4]], Find th...

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