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Matrix multiplication is ……… over additi...

Matrix multiplication is ……… over addition .

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

Matrix multiplication is commutative .

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

True or False statements : Matrix multiplication is associative.

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

(a) a+b=c " " - Commutative property for multiplication (b) a+(b+c) = (a+b) +c " " - Distributive property of multiplication over addition ( c) axx b = bxxa - " " Associative property for addition (d) axx (b+c) = axx b +a xx c " " - Closure property for addition

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.

Show that addition, subtraction and multiplication are binary operations on R but division is not a binary operation on R.

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-II : (Fill in the blanks questions))
  1. If order of matrix A is 3 xx 3 and order of matrix B is 3 xx 5, then o...

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  2. If A=[{:(cos alpha, -sin alpha),(sin alpha,cos alpha):}] then A+A'=I, ...

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  3. Choose the correct option in the question : If A = {:((3,2,1)):} the...

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  4. Matrices A and B will be inverse of each other only if

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

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  6. If A and B are matrices of same order, then (3A-2 B) is equal to ……

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  7. Addition of matrices is defined if order of the matrices is ……

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  8. …….. Matrix is both symmetric and skew symmetric matrix .

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  9. Sum of two skew symmetric matrices is always ……… matrix .

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  10. The negative of a matrix is obtained by multiplying it by …….

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

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

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  13. Matrix multiplication is ……… over addition .

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

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

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

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  17. If A is skew symmetric , then kA is a …….

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

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  19. If A is symmetric matrix, then B' AB is …….. .

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

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