Thread: Matrices

The matrix ( 1 2) maps Q(1,2) to R(5,7).
(1 3)

Find the 2 x 2 matrix which maps R back to Q.

Help please.

Originally Posted by Crystal09

The matrix ( 1 2) maps Q(1,2) to R(5,7).
(1 3)

I will guess that you meant to say the following:

Code:

The matrix [ 1 2 ]
           [ 1 3 ] maps Q(1, 2) to R(5, 7)]

Find the 2 x 2 matrix which maps R back to Q.

If so, then note that, for Ax = b, you have A^(-1)Ax = A^(-1)b = x. So you need only find the matrix inverse.

hi



That is, a linear transformation described by the matrix A.