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Matrices of different order can not be s...

Matrices of different order can not be subtracted .

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

Matrices of any order can be added .

If A and B are square matrices of the same order and A is symmetric, then show that B^t AB is also symmetric.

If A and P are the square matrices of the same order and if P be invertible, show that the matrices A and P^(-1) have the same characteristic roots.

If each of the three matrices of the same order are symmetric then their sum is a symmetric matrix .

If A and B are matrices of the same order, then prove that -(A + B) = -A - B

If A+B=C where A and B are matrices of order 4xx6 then order of C is ……… (ii) If A+B=C where B and A are matrices of order 3xx3 then the order of matrix C is ……

Unlike terms of the expression can be added or subtracted.

If A+ B = C where B and A are matrices of order 5xx5 then the order of matrix C is :

If AB = C , where B and C are matrices of orders 3xx5 , then the order of matrix A is

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. Matrices of any order can be added .

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  2. Two matrices are equal if they have same number of rows and same numbe...

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  3. Matrices of different order can not be subtracted .

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  4. Matrix addition is associative as well as commutative .

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  5. Matrix multiplication is commutative .

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

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

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

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

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  10. Transpose of a column matrix is a column matrix .

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

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

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

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

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

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

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

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

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

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