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Let A={:((1,2),(3,4):}) and B={:((a,0),(...

Let `A={:((1,2),(3,4):})` and `B={:((a,0),(0,b)):}`, where `a,b in N`, then

A

There exist more than one but finite number of B's such that AB=BA

B

There exists exactly one B such that AB=BA

C

There exists infinitely B's such that AB=BA

D

There cannot exist any B such that AB =BA

Text Solution

Verified by Experts

The correct Answer is:
C
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PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
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  2. If A=[{:(1,-1),(-1,1):}] then the expression A^(3)-2A^(2) is

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  3. If A=[{:(1,2),(2,3),(3,4):}] and B=[{:(1,2),(2,1):}] then Which one ...

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  4. If B=[{:(3,2,0),(2,4,0),(1,1,0):}] than what is adjoint of B equal to ...

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  5. If A=[{:(0,1),(1,0):}] then the matrix A is

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  6. Consider the following in respect of matrices A and B of same order: ...

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  7. Let matrix B be the adjoint of a square matrix A.I be the identity mat...

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  8. Consider the following in respect of matrices A,B and C of same order....

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  9. The system of equation 2x+y-3z=5 3x-2y+2z=5 and 5x-3y-z=16

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  10. What should be the value of x so that the matrix ({:(2,4),(-8,X):}) do...

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  11. If A and B are two invertible square matrices of same order, then what...

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  12. What is the adjoint of the matrix : ({:(cos (-theta),-sin (-theta)),...

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  13. For a square matrix A. which of the following properties hold ? I. (...

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  14. A square matrix A is called orthogonal if.

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  15. If A=({:(1,2),(2,3):}) and A^(2) -KA-I(2)=O," where "I(2) is the 2xx2 ...

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  16. If A is a 2xx3 matrix and AB is a 2xx5 matrix. Then B must be a

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  17. What is the inverse of the matrix A=({:(cos theta, sin theta ,0),(- ...

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  18. If A=[{:(4i-6,10i),(14i,6+4i):}] and K=(1)/(2i), where i= sqrt(-1). Th...

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  19. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

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  20. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

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  21. The ad joint of the matrix A= [{:(1,0,2),(2,1,0),(0,3,1):}] is :

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