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If D(1) and D(2) are two 3xx3 diagonal m...

If `D_(1)` and `D_(2)` are two `3xx3` diagonal matrices, then which of the following is/are true ?

A

`D_(1)D_(2)` is a diagonal matrix

B

`D_(1)D_(2)=D_(2)D_(1)`

C

`D_(1)^(2)+D_(2)^(2)` is a diagonal matrix

D

none of these

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All are properties of diagonal matrix.
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CENGAGE-MATRICES-Exercise (Multiple)
  1. Suppose a(1), a(2), .... Are real numbers, with a(1) ne 0. If a(1), a(...

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  2. If alpha, beta, gamma are three real numbers and A=[(1,cos (alpha-beta...

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  3. If D(1) and D(2) are two 3xx3 diagonal matrices, then which of the fol...

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  4. Let A be the 2 xx 2 matrix given by A=[a("ij")] where a("ij") in {0, 1...

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  5. If S=[(0,1,1),(1,0,1),(1,1,0)] and A=[(b+c,c-a,b-a),(c-b,c+b,a-b),(b-c...

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  6. P is a non-singular matrix and A, B are two matrices such that B=P^(-1...

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  7. Let A=[(1,2,2),(2,1,2),(2,2,1)]. Then

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  8. If A=[{:(1,0,0),(1,0,1),(0,1,0):}], then

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  9. If Ais symmetric and B is skew-symmetric matrix, then which of the fol...

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  10. If A=((a(i j)))(nxxn) and f is a function, we define f(A)=((f(a(i j)))...

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  11. If a is matrix such that A^(2)+A+2I=O, then which of the following is/...

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  12. If A = [(3,-3,4),(2,-3,4),(0,-1,1)], then adj (adj A) is

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  13. If [(1,-tan theta),(tan theta,1)][(1,tan theta),(-tan theta,1)]^(-1)=[...

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  14. If A^(-1)=[(1,-1,2),(0,3,1),(0,0,-1//3)], then

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  15. If A is an invertible matrix, tehn (a d jdotA)^(-1) is equal to a d jd...

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  16. If A and B are two invertible matrices of the same order, then adj (AB...

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  17. If A, B, and C are three square matrices of the same order, then AB=AC...

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  18. If A and B are two non singular matrices and both are symmetric and co...

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  19. If A and B are square matrices of order 3 such that A^(3)=8 B^(3)=8I a...

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  20. Let A, B be two matrices different from identify matrix such that AB=B...

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