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Fill in the blanks: If A is a matrix, ...

Fill in the blanks:
If A is a matrix, then `A^2` can be computed only if it is a …………. Matrix.

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If A is any m xx n matrix, then A^2 can be found only when

Fill in the blanks: If A is a symmetric matrix then A^2 is a …. Matrix.

Fill in the blanks : If A is an invertible square matrix, then (A)^-1 is equal to …………. .

Fill in the blanks: If a square matrix is both symmetric and skew symmetric then it is a ………. Matrix.

Fill in the blanks: If A is any square matrix then AA' is always n ……… matrix.

Fill in the blanks: If A is any square matrix then A-A' is always n ……… matrix.

Fill in the blanks: If a matrix A is multiplied by the scalar, 0, then we obtain a ……….. Matrix.

Fill in the blanks: If A is a matrix of order mxxn , then IA = A where I is the identity matrix of order………

Fill in the blanks: If A is a square matrix of order n and there exists a square matrix B of order n such that AB = I_n = BA, then A is an ……………. Matrix.

Fill in the blanks : If A is a square matrix of order n then det (adj A) is equal to ……………… .

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Fill in the blanks: A matrix, in which number of rows is equal to nu...

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  2. A matrix which is not a square matrix is called a …. Matrix .

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  3. Fill in the blanks: If A is a matrix, then A^2 can be computed only ...

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  4. Fill in the blanks: The negative of a matrix is obtained by multiply...

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  5. Fill in the blanks: If a matrix A is multiplied by the scalar, 0, th...

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  6. Fill in the blanks: If A is a matrix of order mxxn, then IA = A wher...

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  7. The product of any matrix by the scalar ……. Is the null matrix .

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  8. Fill in the blanks: If A is a matrix of order mxxn, then IA = A wher...

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  9. Fill in the blanks: Matrix multiplication is ……….. Over matrix oaddi...

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  10. Fill in the blanks: Matrix multiplication is not……………….. .

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  11. Fill in the blanks: Matrix multiplication is …….. .

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  12. Fill in the blanks: If A is any square matrix then AA' is always n …...

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  13. Fill in the blanks: If A is any square matrix then A-A' is always n ...

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  14. Fill in the blanks: If a square matrix is both symmetric and skew sy...

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  15. If A and B are two skew symmetric matrices of same order, then AB is s...

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  16. If A and B are symmetric matrices of the same order, then show that AB...

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  17. Fill in the blanks: If A,B,C are three matrices such that AB and BC ...

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  18. If A is any square matrix then A + A' is a :

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  19. If A is a skew symmetric matrix, then A^(2) is a ……

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

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