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For any two matrices A and B , we have...

For any two matrices A and B , we have

A

AB=BA

B

`ABneBA`

C

`AB=O`

D

none of these

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For any two matrices A and B, we may have `AB=BA=I,ABneBA` and AB=O but it is not always true.
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

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  2. If A is a square matrix such that A^(2)= I, then (A-I)^(3)+(A+I)^(3)...

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  3. For any two matrices A and B , we have

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  4. On usign elementry column operation C(2)rArrC(2)-2C(1) in the followin...

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  5. On using row operation R(1)rArrR(1)-3R(2) in the following matrix equa...

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  6. ......... Matrix is both symmetric and skew-symmetric matrix.

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  7. Sum of two skew-symmetric matrices is always ......... Matrix.

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  8. The negative of a matrix is obtained b y multiplying it by ...........

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  9. The product of any matrix by the scalar ......... Is the null matrix.

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  10. A matrix which is not a square matrix is called a..........matrix.

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  11. Matrix multiplication is distributive over matrix addition

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  12. If A is a symmetric matrix , then A^(3) is a ........ Matrix.

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  13. If A is a skew-symmetric matrix, then A^(2) is a .................

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  14. If A and B are square matrices of the same order, then (i) (AB)=.......

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  15. If A is a skew-symmetric, then kA is a...........(where, k is any scal...

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  16. If A and B are symmetric matrices, then (i) AB-BA is a .......... ...

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  17. If A is symmetric matrix, then B'AB is............

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

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  19. In applying one or more row operations while finding A^(-1) by elemen...

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  20. A matrix denotes a number

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