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Show that a matrix, which is both symmet...

Show that a matrix, which is both symmetric and skew symmetric, is a zero matrix.

A

Unit matrix

B

Zero matrix

C

Scalar matrix

D

Diagonal matrix.

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. The number of all possible matrices of order 3xx3 with each entry 0 o...

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  2. If x[[2],[3]] + y[[-1],[1]] = [[10],[5]] , find the values of x and y.

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  3. Show that a matrix, which is both symmetric and skew symmetric, is a z...

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  4. If A be a matrix of order 3xx4, then elements of A, are

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  5. A 2xx2 matrix A = [a(ij)], where a(ij) = (i+j)^2 is

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  6. If AB=C, where B and C are matrices of orders 6xx5, then the order of ...

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  7. If D = [a(ij)](mxxn) is a rectangular matrix, then

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  8. If A = {:[(cosalpha, -sinalpha),(sinalpha, cosalpha)], then A + A' = I...

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  9. If A is matrix of 4 xx 3 then each column of A contains

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  10. If matrix A is of order 4 xx 3, then each row of matrix A contains ele...

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  11. If A is matrix of a order 2 xx 3 and B is a matrix of order 3 xx 2, t...

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  12. If A is a matrix of order 3 xx 4, then each column of matrix A contain...

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

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  14. If A = {:[(1,0),(1,1)] and A^2 = aA + bI, then (a,b)

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  15. If A = {:[(2-k,2),(1,3-k)] is a singular matirx, then the value of 5k-...

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  16. We define a binary relation ~ on the set of all 3xx3 real matrices as ...

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  17. If A is a 3xx4 matrix and B is a matrix such that A'B and BA' are both...

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  18. If {:[(e^x,e^y),(e^y, e^x)]=[(1,1),(1,1)], then the values of x and y ...

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  19. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

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  20. The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...

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