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Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 ...

Let `A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot` If `B` is the inverse of matrix `A ,` then `alpha=` 2 (b) `-2` (c) 5 (d) `-2`

A

2

B

`-1`

C

`-2`

D

5

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D
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. Solve system of linear equations, using matrix method, x y" "+" "2...

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  2. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

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  3. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

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  4. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

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  5. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  6. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

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  7. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

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  8. If A^2 = A, then (I + A)^(4) is equal to

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  9. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

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  10. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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  11. Find the values of x, y, z if the matrix A=[0 2y z x y-z x-y z] sat...

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  12. Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^...

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  13. The number of 3xx3 matrices A whose entries are either 0 or 1 and for ...

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  14. The number of 3 3 non-singular matrices, with four entries as 1 and ...

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  15. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  16. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  17. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

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  18. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  19. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

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  20. A=[[4, 3],[ 2 ,5]] find x and y such thatA^2-xA+yI=0

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