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Express the matrix {:[(1,4,-6),(7,3,5),(...

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

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. For any two matrices A and B, we have

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  18. If AB = C , where B and C are matrices of orders 3xx5, then the order ...

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  19. If AB = C, where B and C are matrices of order 3 xx 4, then the order ...

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  20. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

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