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

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

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If A is a symmetric matrix, then `A^(3)` is a symmetric matrix.
`because A'A=A`
`therefore (A^(3))=A^(3)`
` =A^(3) [because (A)^(n)=(A^(n))]`
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NCERT EXEMPLAR-MATRICES-Matrices
  1. A matrix which is not a square matrix is called a..........matrix.

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  2. Matrix multiplication is distributive over matrix addition

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

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

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

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

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

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

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

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

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  11. A matrix denotes a number

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  12. Matrices of any order can be added.

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  13. Two matrices are equal. If they have same number of rows and same numb...

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  14. Matrices of different order cannot be subtracted.

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  15. Matrix addition is associative as well as commutative.

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  16. Matrix m ultiplication is commutative.

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  17. A square m atrix where every element is unity is called an identity ma...

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  18. If A and B are two square matrices of the same order, then A+B=B+A.

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  19. If A and B are two m atrices of the same order, then A-B=B-A.

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  20. If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and...

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