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If the matrix A is both symmetric and sk...

If the matrix A is both symmetric and skew symmetric, then
a. A is diagonal matrix
b. A is a zero matrix
c. A is a square matrix
d. none of these

A

A is a diagonal matrix

B

A is a zero matrix

C

A is a square matrix

D

None of these

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. Matrices A and B will be inverse of each other only if a. AB = BA ...

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

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

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

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

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

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

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

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

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  11. If A and B are invertible matrices , then:

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  12. If A is a non-singular matrix of ordern, then |adj A| is equal to

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  13. If 2{:[(x,z),(2,0)]+3[(1,-1),(0,2)]=[(9,15),(4,6)], then the values of...

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  14. If for a square matrix A,AB=BA = I, then inverse of B is

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  15. If A is of order mxxn, B is of order pxxq such that AB is defined, the...

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  16. If A + B = C, where A and B are matrices of order 2 xx 3, then order o...

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

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

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

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

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