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If A=[a(i j)] is a skew-symmetric mat...

If `A=[a_(i j)]` is a skew-symmetric matrix, then write the value of `sum_i a_(i i)` .

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

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  2. For any square matrix write whether AA^T is symmetric or skew-symm...

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  3. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

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  4. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

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  5. If A and B are symmetric matrices, then write the condition for whi...

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  6. If B is a skew-symmetric matrix, write whether the matrix A B\ A^T ...

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  7. If B is a symmetric matrix, write whether the matrix A B\ A^T is sy...

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  8. If A is a skew-symmetric and n in N such that (A^n)^T=lambda\ A^n ...

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  9. If A is a symmetric matrix and n in N , write whether A^n is symme...

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  10. If A is a skew-symmetric matrix and n is an even natural number,...

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  11. If A and B are symmetric matrices of the same order, write whether ...

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  12. Write a square matrix which is both symmetric as well as skew-symme...

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  13. Find the values of x and y , if 2[(1, 3),( 0,x)]+[(y,0),( 1, 2)]=[(5...

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  14. If [(x+3, 4),(y,-4x+y)]=[(5 ,4),( 3 ,9)] , find x and y

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  15. Find the value of x from the following: [(2x,-y),(5, 3y)]=[(6, 5 ),(3...

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  16. Find the value of y, if [(x-y,2),(x,5)]=[(2, 2 ),(3, 5)].

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  17. Find the value of x , if [(3x+y,-y),(2y-x,3)]=[(1, 2),(-5, 3)] .

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  18. If matrix A=[1\ \ 2\ \ 3] , write AA^T .

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  19. If [(2x+y,3y),(0, 4)]=[(6, 0),( 6, 4)] , then find x .

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  20. If A=[(1, 2 ),(3, 4)] , find A+A^T .

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