15. For matrix `A=[(2,3),(-4,5)]`, `(adjA)^T` is equal to
`(A) [(5,-3),(4,2)]`
`(B) [(5,4),(-3,2)]`
`(C) [(5,3),(4,-2)]`
`(D) [(5,-3),(-4,2)]`

(2/3)^(-5) is equal to (a) ((-2)/3)^5 (b) (3/2)^5 (c) (2^-5)/3 (d) 2/(3^5)

The rank of the matrix {:A=[(1,2,3),(4,5,6),(3,4,5)]:} is

The inverse of the matrix [[2,3],[-4,-5]] is: (a) [[-(5)/(2),4],[(9)/(2),1]] , (b) [[(5)/(2),2],[(4)/(2),2]] (c) [[-(5)/(2),-(3)/(2)],[2,1]] (d) [[1,3],[(2)/(3),4]]

If A=[[1,2,3]], B=[(-5,4,0),(0,2,-1),(1,-3,2)] then (A) AB=[(-2),(-1),(4)] (B) AB=[-2,-1,4] (C) AB=[4,-1,2] (D) AB=[(-5,4,0),(0,4,-2),(3,-9,6)]

If A=[5a -b 3 2] and A (adj A)=A A^T , then 5a+b is equal to: (1) -1 (2) 5 (3) 4 (4) 13

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) 5 (3) 4 (4) 13

(3/4)^5-:(5/3)^5 is equal to (a) (3/4-:5/3)^5 (b) (3/4-:5/3)^1\ \ (c) (3/4-:5/3)^0 (d) (3/4-:5/3)^(10)

Plot the points A(4,2),B(-5,3),C(-4,-5) and D(5,-2) .

2 (3)/(5) + 1 (4)/(5) + 3 (2)/(5