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Matrix multiplication is commutative ....

Matrix multiplication is commutative .

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False
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If A = [[1,0],[0,-1]] and B=[[0,1],[1,0]] , then AB = [[0,1],[-1,0]] and BA = [[0,-1],[1,0]] . Clearly AB ne BA Thus matrix multiplication is not commutative.

We know that multiplicatio is commutative for whole numbers : Can we say multiplication is also commutative for integers ?

True or False statements : Matrix multiplication is associative.

Addition is commutative for

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

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

Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) and (AB)A are symmetric matrices. Statement 2 : AB is symmetric matrix if matrix multiplication of A with B is commutative.

Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the following multiplication table : Is ∗ commutative?

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. Matrices of different order can not be subtracted .

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  2. Matrix addition is associative as well as commutative .

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  3. Matrix multiplication is commutative .

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  4. A square matrix where every element is unity is called an identity mat...

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

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  6. If A and B are two matrices of the same order, then A-B=B-A .

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

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  8. Transpose of a column matrix is a column matrix .

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

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  10. If each of the three matrices of the same order are symmetric then the...

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  11. If A and B are two square matrices of the same order, then AB=BA .

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

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

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  14. A A' is always a symmetric matrix for any matrix A .

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

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

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  17. (AB)^(-1)=A^(-1)B^(-1), where A and B are invertible matrices satisfyi...

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  18. The number of all possible matrices of order 3xx3 with each entry 0 or...

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

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  20. If A + B = C, where A and B are matrices of order 2 xx 3, then order o...

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