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Sum of two skew-symmetric matrices is al...

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

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Let A is a given matrix, then (-A) is a skew symmetric matrix Similarly, for a given matrix -B is a skew -symmetric matrix.
Hence -A-B=-(A+B)`rArr` sum of two skew symmetric matrices is always skew symmetric m atrix.
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NCERT EXEMPLAR-MATRICES-Matrices
  1. On using row operation R(1)rArrR(1)-3R(2) in the following matrix equa...

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

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

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

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

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

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  7. Matrix multiplication is distributive over matrix addition

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

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

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

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

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

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

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

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

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  16. A matrix denotes a number

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  17. Matrices of any order can be added.

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

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  19. Matrices of different order cannot be subtracted.

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  20. Matrix addition is associative as well as commutative.

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