Question

Vector v, represented as a column matrix [4−2] is transformed using the transformation matrix [0−110].

What is the transformed vector?

Responses

Answer 1

Multiply the matrix by the column vector:

[ [0 −1]
[1 0] ] [4
−2]
= [0·4 + (−1)(−2)
1·4 + 0·(−2)]
= [2
4].

So the transformed vector is [2; 4] (i.e. (2, 4)).