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Transpose of a column matrix is a column...

Transpose of a column matrix is a column matrix .

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If P is a 3xx3 matrix such that P^T = 2P+I , where P^T is the transpose of P and I is the 3xx3 identity matrix, then there exists a column matrix, X = [[x],[y],[z]]!=[[0],[0],[0]] such that

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. If A and B are two matrices of the same order, then A-B=B-A .

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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. Transpose of a column matrix is a column matrix .

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

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

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

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

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

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

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

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

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

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

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

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  16. The solution of matrix equation [{:(x,1):}][{:(1,0),(-2,0):}]=O is 5 .

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  17. Choose the correct option in the question : If {:((1,2),(3,4)):}{:(...

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  18. AB=AC implies B=C .

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  19. If A is matrix of a order 2 xx 3 and B is a matrix of order 3 xx 2, t...

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  20. If AB = C, where B and C are matrices of order 3 xx 5, then order of A...

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