If `A=[[4,1], [3,1]]` then `A^(-1)=`

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB

If the inverse of [[2, -1, 4], [4, -3, 1], [1, 2, 1]] is (1)/(37)[[-5, 9, 11], [-3, -2, 14], [11, -5, k]] , then k=

If A+I_(3)=[[1,3,4-1,1,3-2,-3,1]], evaluate (A+I_(3))(A-I_(3)), where I_(3) represents 3xx3 unit matrix.

If A=[[3, 4, 3], [1, 1, 0], [1, 4, 5]] , then

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

The co-factors of the elements of third column of [[4, 3, 1], [1, 3, 2], [2, 1, 5]] are

If A(4,-4) and B(9,6) lies on y^(2)=4x and a point C on arc AOB(O= or ig in) such that the area of /_ACB is maximum then point c is (1)((1)/(4),1) (2) (1,(1)/(4))(3)(1,(1)/(2)) (4) ((1)/(2),1)

5.Find the rank of the matrix [[2,2,-1],[4,1,2],[3,-1,0],[1,-2,-1]]

If | (1,4), (1., 3) |+| (1/2,4), (1/3,3) |+| (1/4,4), (1/9,3) |+.... oo = (i) 1 (ii) -1 (iii) 0 (iv) infty