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If ( A =[[2,3],[4,5]] ), prove that A-A' is a skew symmetric matrix where (A^tau) denotes the transpose of matrix A

Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(2,5),(4,1)] . Where A, is the transpose of A.

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

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. True or False statements : If A is any square matrix, then (A+A')/2 ...

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  2. True or False statements : If A is any square matrix, then (A-A')/2 ...

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

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  4. True or False statements : If A and B are invertible matrices then A...

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  5. True or False statements : If and B are invertible matrices such tha...

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  6. True or False statements : If A and B are invertible matrices of he ...

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  7. If (AB)=B'A' , where A and B are not square matrices, then number of r...

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  8. True or False statements : Sum of three symmetric matrices of the sa...

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

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  10. True or False statements : if A and B are square matrices of the sam...

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  11. True or False statements : Matrices of different types cannot be sub...

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  12. If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] , then AB an...

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  13. If A and B are symmetric matrices of same order then AB - BA is a :

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  14. Prove that any square matrix can be expressed as sum of symmetric and...

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  15. True or False statements : Every diagonal entry of a skew-symmetric ...

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  16. Match the following

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  17. Let A be a 5 xx 7 matrix, then each column of A contains

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  18. If matrix A is of order 4 xx 3, then each row of matrix A contains ele...

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  19. The numner of all possible matrices of order 2 xx 3 with each entry 0 ...

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  20. The matrix A = [(0,0,6),(0,6,0),(6,0,0)] is a

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