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Find (1)/(2)(A+A')and(1)/(2)(A-A'), when...

Find `(1)/(2)(A+A')and(1)/(2)(A-A')`, when `A=[(0,a,b),(-a,0,c),(-b,-c,0)]`.

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Given, A=[{:(1,3,5),(-2,0,2),(0,0,-3):}], B = [{:(0,3),(-2,0),(0,-4):}] and C=[{:(4,1,-2),(3,2,1),(2,-1,7):}], find (whichever defined) (i)A+B. (ii)A+C.

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If A = [(1,3,4),(2,0,1),(-3,2,3)], B = [(0,2,-1),(5,7,2),(-1,0,3)] and C = [(2,-1,3),(6,8,5),(0,1,4)] find 4A - 2 B + 3 C.

If A = {:[(1,2,3),(-1,0,2),(1,-8,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)], C = [(-1,-2,1),(-1,2,3),(-1,-2,2)] find A - 2B + 3C

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If A = {:[(1,2,3),(-1,0,2),(1,-3,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)] and C = [(-1,-2,1),(-1,2,3),(-1,-2,2)] , verify that: A+(B +C) = (A+B) + C

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OMEGA PUBLICATION-MATRICES -MULTIPLE CHOICE QUESTIONS
  1. Find (1)/(2)(A+A')and(1)/(2)(A-A'), when A=[(0,a,b),(-a,0,c),(-b,-c,0)...

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

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

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

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

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

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  9. If the matrix A is both symmetric and skew symmetric, then :

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

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  11. If A = [ a(ij)]("mxn") is a rectangular matrix, then

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

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

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  14. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

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

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

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

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  19. Which of the given values of x and y make the following pair of matri...

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

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  21. Matrices A and B will be inverse of each other only if

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