If `A = [(7,3),(5,2)]` find `A^(-1)`.

If A=[(3,1),(-1,2)] , show that A^(2)-5A+7I=0 .

Find |A| If A = [(7x , 3), (5 , 6)]

If A = [(1,1,-2),(2,1,-3),(5,4,-9)] find |A| .

Find X and Y if (i) X + Y = [(7,0),(2,5)] and X - Y = [(3,0),(3,3)]

The centroid of a triangle ABC is ( 1, 2, 2) If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively . Find the coordinates of C.

If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value of k.

If A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:}, find |A|

If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I =O.Hence find A^(-1)

If the points (7, -2) (5, 1) and (3, k) are collinear. Find the value of k. OR Find the area of Rhombus if its vertices are (3, 0) (4, 5) (-2, -1) taken in order.

Find the distance between the points (-3,7,2) and (2,4,-1).