Linear Algebra Quiz
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SYSTEMS OF LINEAR EQUATIONS & MATRICES
Question 1
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Let
P
=
(
1
2
0
−
1
)
P = \begin{pmatrix} 1 & 2 \\ 0 & -1 \end{pmatrix}
P
=
(
1
0
2
−
1
)
and
Q
=
(
3
−
1
2
0
)
Q = \begin{pmatrix} 3 & -1 \\ 2 & 0 \end{pmatrix}
Q
=
(
3
2
−
1
0
)
. Which matrix represents the commutator expression
P
Q
−
Q
P
PQ - QP
P
Q
−
QP
?
A
(
0
0
0
0
)
\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}
(
0
0
0
0
)
B
(
−
4
8
4
4
)
\begin{pmatrix} -4 & 8 \\ 4 & 4 \end{pmatrix}
(
−
4
4
8
4
)
C
(
4
−
8
−
4
−
4
)
\begin{pmatrix} 4 & -8 \\ -4 & -4 \end{pmatrix}
(
4
−
4
−
8
−
4
)
D
(
10
6
0
4
)
\begin{pmatrix} 10 & 6 \\ 0 & 4 \end{pmatrix}
(
10
0
6
4
)
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