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If A=[{:(3,1),(0,4):}] and B = [{:(1,1),...

If `A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}]`, then which of the following is/are correct ?
I. AB is defined
II. BA is defined
III. AB=BA
Select the correct answer using the code given below :

A

Only I

B

Only II

C

I and II

D

I, II and III

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PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
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  2. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

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

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

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

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

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

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

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

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

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

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

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

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  14. Consider the following statements in respect of a square matrix A and ...

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  15. If A=[{:(0,1),(-1,0):}] B=[{:(i,0),(0,-i):}] C=[{:(0,-i),(-i,0):}] the...

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

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  17. If a matrix A is such that 3A^(3)+2A^(2)+5A+1=0. Then A^(-1) is equal ...

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  18. Let A [{:(5,6,1),(2,-1,5):}], if there exists a matrix B such that AB ...

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  19. Consider the following statements: I. If A=A. then A is singular mat...

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  20. Let A=[(1,2),(3,4)], [a(ij)] where I,j =1,2. If its inverse matrix is ...

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