If P = (begin{pmatrix} 5 & 3 \ 2 & 1 end{pmatrix}) and Q = (begin{pmatrix} 4 & 2 \ 3 & 5 end{pmatrix}), find 2P + Q
-
A.
(begin{vmatrix} 7 & 7 \ 14 & 8 end{vmatrix}) -
B.
(begin{vmatrix} 14 & 8 \ 7 & 7 end{vmatrix}) -
C.
(begin{vmatrix} 7 & 7 \ 8 & 14 end{vmatrix}) -
D.
(begin{vmatrix} 8 & 14 \ 7 & 7 end{vmatrix})
Correct Answer: Option B
Explanation
2P + Q = 2(begin{pmatrix} 5 & 3 \ 2 & 1 end{pmatrix}) + (begin{pmatrix} 4 & 2 \ 3 & 5 end{pmatrix})
= (begin{pmatrix} 10 & 6 \ 4 & 2 end{pmatrix}) + (begin{pmatrix} 4 & 2 \ 3 & 5 end{pmatrix})
= (begin{pmatrix} 14 & 8 \ 7 & 7 end{pmatrix})
There is an explanation video available below.