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If the matrix AB is a zero matrix, then ...

If the matrix AB is a zero matrix, then which one of the following is correct ?

A

A must be equal to zero matrix or B must be equal to zero matrix.

B

A must be equal to zero matrix and B must be equal to zero matrix

C

It is not necessary that either A is zero matrixes or B is zero matrixes

D

None of the above

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PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. The inverse of a diagonal matrix is a:

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  2. If the matrix [{:(alpha, 2,2),(-3,0,4),(1,-1,1):}] is not invertible t...

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  3. If the matrix AB is a zero matrix, then which one of the following is ...

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  4. If the sum the matrices [{:(x),(x),(y):}][{:(y),(y),(z):}] and [{:(z),...

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  5. A square matrix [A(ij)] such that a(ij)=0 for I ne j and a(ij)=k where...

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  6. Consider the following statements. I. Every zero matrix is a square ...

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  7. If a matrix A has inverse B and C. then which one of the following is ...

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  8. If A is a square matrix such that A^(2)=l where l is the identity matr...

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  9. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

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  10. Then sum and product of matrices A and B exist. Which of the following...

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  11. If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the v...

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  12. Consider the following statements with respect to the square matrices ...

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  13. For what value of x does {:(1  {:3 &nbsp {:2:})({:(1,3,0),(3,0,2),(2,0...

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  14. If the matrix A=[{:(2-x,1,1),(1,3-x,0),(-1,-3,-x):}] is singular then ...

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  15. If A=[{:(alpha,0),(1,1)] and B=[{:(1,0),(2,1):}] such that A^(2)=B the...

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  16. If A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}], then which of the fo...

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  17. If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, t...

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  18. Consider the following statements. I. The inverse of the square matr...

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  19. If the matrix A=[{:(alpha, beta),(beta,alpha):}] is such that A^(2)=I,...

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  20. Let A and B matrices of order 3xx3 If AB=0. then which of the followin...

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