Question

Find the image of vector u and v under T

Answer 1

see picture for full question. Please

Answer 2

please you have to perform the multiplication between your Matrix and the vector u, and subsequently another multiplication between your Matrix and the vector v

Answer 3

@cjroyg please do you remember the rule of multiplication between a matrix and a vector?

Answer 4

yes, so the first multiplication is A multiplied by u which gives the matrix T(u) = <1, 3>

Answer 5

correct

Answer 6

perfect! that's right!

Answer 7

@cjroyg please do the same with the vector v

Answer 8

and the other one would be T(v) = <5a+b-4c , 7a+b-6c>

Answer 9

thanks for your help.

Answer 10

@cjroyg thanks!