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If A, B are two matrices and (A+B)(A-B)=...

If A, B are two matrices and `(A+B)(A-B)=A^(2)-B^(2)`, then

A

`AB=BA`

B

`A'B'=AB`

C

`A^(2)+B^(2)=A^(2)-B^(2)`

D

`ABneBA`

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The correct Answer is:
A
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
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  2. If A and B are square matrices of order ntimesn, then (A-B)^(2)=

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  3. If A, B are two matrices and (A+B)(A-B)=A^(2)-B^(2), then

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  4. Which of the following is incorrect?

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  5. If A^(T), B^(T) are transpose of the square matrices A, B respectively...

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  6. Which of the following relations is incorrect?

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  7. Which one of the following statements is true?

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  8. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  9. If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a(ij) denote the cofactor ...

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  10. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  11. If A and B are non-singular square matrices of same order then adj(AB)...

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  12. If A is a non-singular matrix of order n, then A(adj A)=

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  13. If A is a singular matrix of order n, then A(adjA)=

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  14. If A is a ntimesn matrix and |A|ne0, then adj(adjA)=

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  15. If A is a singular matrix of order n, then (adjA) is

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  16. If A is a square matrix, then adj(A')-(adjA)'=

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  17. If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

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  18. If A is a non-singular matrix of order 3, then |adjA^(3)|=

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  19. If D is the determinant of a square matrix A of order n, then the dete...

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  20. Which of the following is/are incorrect? (i).Adjoint of symmetric mat...

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