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Math Problems
Algebra 1
Matrix vocabulary
Question
3
3
3
\newline
1
1
1
point
\newline
What is the value of
p
p
p
if the matrix
A
A
A
is a singular matrix?
\newline
A
=
(
3
p
6
−
4
1
)
A=\left(\begin{array}{ll} 3 p & 6 \\ -4 & 1 \end{array}\right)
A
=
(
3
p
−
4
6
1
)
\newline
8
8
8
\newline
−
8
-8
−
8
\newline
4
4
4
\newline
−
3
-3
−
3
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what is
5
+
3
5+3
5
+
3
?
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what is
3
+
3
+
6
+
8
3+3+6+8
3
+
3
+
6
+
8
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Consider this matrix transformation:
\newline
[
−
3
4
−
3
2
]
\left[\begin{array}{ll} -3 & 4 \\ & \\ -3 & 2 \end{array}\right]
⎣
⎡
−
3
−
3
4
2
⎦
⎤
\newline
What is the image of
[
−
2
2
]
\left[\begin{array}{c}-2 \\ 2\end{array}\right]
[
−
2
2
]
under this transformation?
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Consider this matrix transformation:
\newline
[
2
−
1
1
3
]
\left[\begin{array}{cc} 2 & -1 \\ 1 & 3 \end{array}\right]
[
2
1
−
1
3
]
\newline
What is the image of
[
2
3
]
\left[\begin{array}{l}2 \\ 3\end{array}\right]
[
2
3
]
under this transformation?
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Consider this matrix transformation:
\newline
[
−
2
4
3
−
1
]
\left[\begin{array}{cc} -2 & 4 \\ & \\ 3 & -1 \end{array}\right]
⎣
⎡
−
2
3
4
−
1
⎦
⎤
\newline
What is the image of
[
−
1
−
2
]
\left[\begin{array}{l}-1 \\ -2\end{array}\right]
[
−
1
−
2
]
under this transformation?
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Consider this matrix transformation:
\newline
[
2
3
−
3
−
1
]
\left[\begin{array}{cc} 2 & 3 \\ & \\ -3 & -1 \end{array}\right]
⎣
⎡
2
−
3
3
−
1
⎦
⎤
\newline
What is the image of
[
4
1
]
\left[\begin{array}{l}4 \\ 1\end{array}\right]
[
4
1
]
under this transformation?
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Consider this matrix transformation:
\newline
[
−
4
−
2
2
3
]
\left[\begin{array}{cc} -4 & -2 \\ 2 & 3 \end{array}\right]
[
−
4
2
−
2
3
]
\newline
What is the image of
[
3
−
1
]
\left[\begin{array}{c}3 \\ -1\end{array}\right]
[
3
−
1
]
under this transformation?
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Consider this matrix transformation:
\newline
[
−
1
−
2
4
−
1
]
\left[\begin{array}{cc} -1 & -2 \\ & \\ 4 & -1 \end{array}\right]
⎣
⎡
−
1
4
−
2
−
1
⎦
⎤
\newline
What is the image of
[
3
−
2
]
\left[\begin{array}{c}3 \\ -2\end{array}\right]
[
3
−
2
]
under this transformation?
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Consider this matrix transformation:
\newline
[
−
1
1
3
0
0
3
−
1
0
3
]
\left[\begin{array}{ccc} -1 & 1 & 3 \\ 0 & 0 & 3 \\ -1 & 0 & 3 \end{array}\right]
⎣
⎡
−
1
0
−
1
1
0
0
3
3
3
⎦
⎤
\newline
What is the image of
[
2
5
3
]
\left[\begin{array}{c} 2 \\ 5 \\ 3 \end{array}\right]
⎣
⎡
2
5
3
⎦
⎤
under this transformation?
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Is this an identity matrix?
\newline
[
0
11
0
]
\begin{bmatrix} 0 & 1 1 & 0 \end{bmatrix}
[
0
11
0
]
\newline
Choices:
\newline
yes
\text{yes}
yes
\newline
no
\text{no}
no
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