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]]`

The inverse of the matrix [(2,3),(-4,7)] is (A) [(-2,-3),(4,-7)] (B) 1/26 [(7,-3),(4,2)] (C) [(7,4),(-3,2)] (D) [(7,-3),(4,2)]

The adjoint of the matrix [(2,5),(3,1)] is (A) [(2,5),(3,1)] (B) [(1,-5),(-3,2)] (C) [(1,-3),(-5,2)] (D) [(-1,3),(5,-2)]

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)]

The matrix X for which [[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]] is a. [[-2, 4],[-3, 1]] b. [[-1/5, 2/5],[-3/(10),1/5]] c. [[-16, 16],[ 7 ,2]] d. [[6, 2],[(11)/2, 2]]

Find the rank of matrix : A= [[1,2,-2,3],[2,5,-4,6],[-1,-3,2,-2],[2,4,-1,6]]

Find the Rank of the matrix A = [[1,4,5,2],[2,1,3,0],[-1,3,2,2]]

Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]

If the rank of the matrix [[-1,2,5],[2,-4,a-4],[1,-2,a+1]] is 1 then the value of a is (A) -1 (B) 2 (C) -6 (D) 4

Find A(a d j\ A) for the matrix A=[[1,-2 ,3],[ 0, 2,-1],[-4 ,5, 2]] .

Let A= [[2,4],[3,2]], B=[[1,3],[-2,5]], C=[[-2,5],[3,4]] find A-B