Question

Let A =\(\begin{bmatrix}2&3\\4&-1\end{bmatrix}\) then the matrix B that represents the linear operator A relative to the basis
S = {\(u_1,u_2\)}=\({[1, 3]^T, [2, 5]^T}\), is:

• A. \(\begin{bmatrix}53&89\\32&54\end{bmatrix}\)
• B. \(\begin{bmatrix}-53&-89\\32&54\end{bmatrix}\)
• C. \(\begin{bmatrix}53&55\\98&23\end{bmatrix}\)
• D. \(\begin{bmatrix}53&-23\\89&45\end{bmatrix}\)

Answer 1

The Correct Option is B

The correct option is(B)