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If A is of order 5 xx 3, what is the nu...

If A is of order ` 5 xx 3`, what is the number of elements in a row of A?

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Write down a scalar matrix of order 2 whose (2,2)th entry is -1.

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  2. Give an example of a 3xx3 lower triangular matrix.

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  3. If A is of order 5 xx 3, what is the number of elements in a row of A...

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  4. If A is of order mxxn, find the number of elements in a column of A.

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  5. If A is of order mxx2 and both A + B and AB are defined, find m.

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  6. Write the diagonal of the matrix A = [(1,0,2),(2,0,3),(3,6,4)].

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  7. Find the number of all possible matrices of order 2xx2 with entries 0,...

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  8. If A = [(2,3),(1,2)], B = [(1,3,2),(4,3,1)], C = [(1),(2)] and D = [(4...

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  9. If A 3xx3 invertible matrix, then show that for any scalar 'k' (non-ze...

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  10. If [2x,3] {:[(1,2),(-3,0)][(x),(8)]= O, find the value of 'x'.

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  11. If P = [(x,0,0),(0,y,0),(0,0,z)]and Q = [(a,0,0),(0,b,0),(0,0,c)], ver...

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  12. Find x,y if x[(2),(1)] + y[(3),(5)] - [(-8),(-11)] = O

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  13. If possible , find the sum of the matrices of A and B, where A = [(sqr...

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  14. If A = [(cos alpha, - sinalpha),(sinalpha, cosalpha)], then for what v...

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  15. If {:((1,2),(3,4)),((3,1),(2,5)),= ((7,11),(k,23)), then write the val...

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  16. If A = [(2,3),(5,-2), write A^-1 in terms of A.

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  17. If A is a square matrix such that A^2 = A, then write the value of 7A-...

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  18. Solve the following equations for x : [x 1] {:[(1,0),(-2,0)] = 0

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  19. Find x, if any such that [(3,4),(-1,x)] = [(0, x +2),(-1,2)]

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  20. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] write the value of ...

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