Let
A=[3−152],B=[04−26]A = \begin{bmatrix} 3 & -1 \\ 5 & 2 \end{bmatrix}, \qquad B = \begin{bmatrix} 0 & 4 \\ -2 & 6 \end{bmatrix}A=[35−12],B=[0−246]
The scalars ppp and qqq satisfy
p AT+q B=[6−24−14]p\,A^{T} + q\,B = \begin{bmatrix} 6 & -2 \\ 4 & -14 \end{bmatrix}pAT+qB=[64−2−14]
Using those same two scalars, what is the (2,1)(2,1)(2,1) entry of
p BT+q A ?p\,B^{T} + q\,A \;?pBT+qA?
Select all that apply.
−19-19−19
−2-2−2
−7-7−7
−1-1−1