Question

can someone help me out with linear algebra?

Answer 1

\[T(\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]) = \left[\begin{matrix}10a-9b & 4a-2b \\ -2c+5d & c+2d\end{matrix}\right]\]

Answer 2

youre looking for the transformation matrix /

Answer 3

exactly

Answer 4

I know that {T(e_!), T(e_2) T(e_3) T(e_4)} should be the answer, but I think T has to be a 2by2 matrix

Answer 5

If I do the above way, it gives me a 2 by 8

Answer 6

T has to be a square matrix of size 2 in order to preserve the dimensions of the matrix [a b; c d] after the multiplication operation

Answer 7

I already know that