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If X and Y are 2xx2 matrice, then solve ...

If X and Y are `2xx2` matrice, then solve the following matrix equations of X and Y:
`2X + 3Y = {:[(2,3),(4,0)], 3X + 2Y = [(-2,2),(1,-5)]`

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. If a matrix has 28 elements, what are the possible orders it can have?...

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  2. Cnstruct a(2xx2) matrix, where a(ij) = |-2i+3j|

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  3. If X and Y are 2xx2 matrice, then solve the following matrix equations...

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  4. If A is a square matrix such that A^2 = A, show that (I+A)^3 = 7A+I.

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  5. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

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  6. Find non-zero values of 'x', satisfying the matrix equation: x{:[(2x...

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  7. Express the matrix {:[(1,4,-6),(7,3,5),(1,-2,4)] as a sum of symmetric...

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  8. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

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

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  10. The number of all possible matrices of order 3xx3 with each entry 0 or...

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

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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. If A, B are symmetric matrices of same order, then AB - BA is a :

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  14. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

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  15. Matrices A and B will be inverse of each other only if a. AB = BA ...

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  16. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

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  17. If the matrix A is both symmetric and skew symmetric, then a. A is d...

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  18. If A is square matrix such that A^2 = A,then (I+A)^3-7A is equal to:

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  19. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

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  20. If A is a matrix of order mxxn and B is a matix such that AB' and B'A ...

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