Representing Linear Systems with Matrices
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
Identify the constants vector
b
⃗
\vec{b}
b
for
2
x
−
3
y
=
5
2x-3y=5
2
x
−
3
y
=
5
and
4
x
+
y
=
−
1
4x+y=-1
4
x
+
y
=
−
1
.
QUESTION
Find and correct
A
A
A
for
2
x
+
3
y
=
1
2x+3y=1
2
x
+
3
y
=
1
and
−
x
+
4
y
=
6
-x+4y=6
−
x
+
4
y
=
6
if written as
A
=
[
2
3
−
1
−
4
]
A=\begin{bmatrix}2&3\\-1&-4\end{bmatrix}
A
=
[
2
−
1
3
−
4
]
.
QUESTION
Identify the coefficient matrix
A
A
A
for
x
+
0
y
−
2
z
=
7
x+0y-2z=7
x
+
0
y
−
2
z
=
7
and
3
x
+
y
+
z
=
4
3x+y+z=4
3
x
+
y
+
z
=
4
.
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ANSWER
(
1
0
−
2
3
1
1
)
\begin{pmatrix}1&0&-2\\3&1&1\end{pmatrix}
(
1
3
0
1
−
2
1
)
. Missing
y
y
y
term means coefficient is 0 in first row.
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