Given `A=[(1,3),(4,-3)]`, find a nonzero column matrix B such that `AB=3B`.

Find a nonzero row matrix B such that B[(3,1),(-3,4)]=[(1,1)]

If A=[(1,2),(3,4)] , find a matrix B such that AB=I .

Given a matrix A = [(2, -1),(4, 2)] Find matrix KA, where K = -1/2 .

If A and B are (-2,-2) and (2,-4),respectively,find the coordinates of P such that AP=3/7 AB and P lies on the line segment AB.

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

In /_\ABC , a = 3, b = 4, C= 90^@ and D is a point on AB such that angleBCD= 30^@ . Find the length of CD.

If [(1,2,-1),(x,3,y),(-1,6,4)] is a symmetric matrix, then find x and y

If A=[2 3 4 ] and B = [(10),(11),(12)] , then write down the matrix AB.

Find the inverse of the matrix, A=[[2,-3],[-4,7]] .

A and B are two sets such that (A xx B) consists of 6 elements. If three elements-of (Axx B) are (1, 3), (2, 5) and (3, 3), find the remaining elements of (A xx B) .