AP Precalculus Quiz
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FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES
Question 1
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Using the matrix provided, how does matrix multiplication affect
v
\mathbf{v}
v
if
A
=
(
3
0
0
1
)
\mathbf{A}=\begin{pmatrix}3&0\\0&1\end{pmatrix}
A
=
(
3
0
0
1
)
and
v
=
(
−
2
5
)
\mathbf{v}=\begin{pmatrix}-2\\5\end{pmatrix}
v
=
(
−
2
5
)
?
A
A
v
=
(
−
6
5
)
\mathbf{A}\mathbf{v}=\begin{pmatrix}-6\\5\end{pmatrix}
Av
=
(
−
6
5
)
, a horizontal stretch by factor
3
3
3
.
B
A
v
=
(
−
2
15
)
\mathbf{A}\mathbf{v}=\begin{pmatrix}-2\\15\end{pmatrix}
Av
=
(
−
2
15
)
, a vertical stretch by factor
3
3
3
.
C
A
v
=
(
1
5
)
\mathbf{A}\mathbf{v}=\begin{pmatrix}1\\5\end{pmatrix}
Av
=
(
1
5
)
, a translation right by
3
3
3
.
D
A
v
=
(
−
5
3
)
\mathbf{A}\mathbf{v}=\begin{pmatrix}-5\\3\end{pmatrix}
Av
=
(
−
5
3
)
, a
90
∘
90^\circ
9
0
∘
rotation.
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