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True or False statements : If A,B,C ar...

True or False statements :
If A,B,C are three matrices such that both AB and AC are defined and are equal, then it implies that B and C are equal matrices.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. True or False statements : If A and B are non-zero square matrices o...

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  2. If matrix AB=O, then A=O or B=O or both A and B are null matrices .

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  3. True or False statements : If A,B,C are three matrices such that bot...

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  4. True or False statements : Matrix multiplication is associative.

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  5. True or False statements : A square matrix in which every element is...

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  6. True or False statements : In an identity matrix, every non-diagonal...

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  7. True or False statements : In an diagonal matrix, every non-diagonal...

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  8. True or False statements : In a scalar matrix, all the non-diagonal ...

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  9. True or False statements : Transpose of a column matrix is a column ...

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  10. True or False statements : Transpose of a row matrix is a column mat...

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  11. If A, B and C are square matrices of same order, then AB=AC always imp...

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  12. True or False statements : For a non-singular matrix A, (A')^-1 = (A...

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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. True or False statements : If A is any matrix, then AA' is always a ...

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  15. True or False statements : If A is any matrix, then AA' is always a ...

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

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

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

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

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

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