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If lambda in R, then lambdaI2 is the mat...

If `lambda in R`, then `lambdaI_2` is the matrix

A

`[(lambda, lambda),(0,0)]`

B

`[(lambda,lambda),(lambda,lambda)]`

C

`[(0,lambda),(lambda,0)]`

D

`[(lambda,0),(0,lambda)]`

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. The number of all possible matrices of order 3xx3 with each element 0 ...

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  2. If [(2x+y, 4x),(5x-7, 4x)] = [(7,7y-13),(y,x+6)], then the values of x...

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  3. If lambda in R, then lambdaI2 is the matrix

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

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  5. If P is of order 2xx3 and Q is of order 3 xx 2, then PQ is of order

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  6. If A and B are square matrices of the same order, then (A+B) (A-B) is ...

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  7. If A=[{:(2,-1,3),(-4,5,1):}] and B=[{:(2,3),(4,-2),(1,5):}] , then

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  8. If A is any m xx n matrix, then A^2 can be found only when

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  9. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  10. If |x pi| le 1, A = 1/pi [(sin^-1(xpi), tan^-1(x/pi)),(sin^-1(x/pi) ,c...

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  11. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

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  12. If A is a square matrix, then A is symmetric iff

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  13. If A is a square matrix, then A is skew symmetric iff

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  14. If A and B are two matrices of the order 3xx m and 3 xx n respectively...

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  15. The matrix [(0,-1,8),(1,0,12),(-8,-12,0)] is a

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  16. If A is any square matrix, then

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  17. If A and B are symmetric matrices of the same order, then

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  18. If A and B are two skew symmetric matrices of same order, then AB is s...

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

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  20. Each diagonal element of a skew symmetric matrix is

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