Precalculus Quiz
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MATRIX OPERATIONS & APPLICATIONS
Question 1
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Given the scalar
k
=
1
2
k=\tfrac{1}{2}
k
=
2
1
and matrix
M
=
[
4
0
−
2
6
−
4
2
]
M=\begin{bmatrix}4 & 0 & -2\\6 & -4 & 2\end{bmatrix}
M
=
[
4
6
0
−
4
−
2
2
]
(a
2
×
3
2\times3
2
×
3
matrix), what is
k
M
kM
k
M
?
A
[
2
0
−
1
3
−
2
1
]
\begin{bmatrix}2 & 0 & -1\\3 & -2 & 1\end{bmatrix}
[
2
3
0
−
2
−
1
1
]
B
[
9
2
1
2
−
3
2
t
f
r
a
c
132
−
7
2
5
2
]
\begin{bmatrix}\tfrac{9}{2} & \tfrac{1}{2} & -\tfrac{3}{2}\\tfrac{13}{2} & -\tfrac{7}{2} & \tfrac{5}{2}\end{bmatrix}
[
2
9
t
f
r
a
c
13
2
2
1
−
2
7
−
2
3
2
5
]
C
[
8
0
−
4
12
−
8
4
]
\begin{bmatrix}8 & 0 & -4\\12 & -8 & 4\end{bmatrix}
[
8
12
0
−
8
−
4
4
]
D
[
2
0
−
1
6
−
4
2
]
\begin{bmatrix}2 & 0 & -1\\6 & -4 & 2\end{bmatrix}
[
2
6
0
−
4
−
1
2
]
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