Representing Linear Systems with Matrices
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What matrix equation represents the system
x
−
y
=
0
x-y=0
x
−
y
=
0
,
2
x
+
3
y
=
7
2x+3y=7
2
x
+
3
y
=
7
,
−
x
+
4
y
=
1
-x+4y=1
−
x
+
4
y
=
1
as
A
x
⃗
=
b
⃗
A\vec{x}=\vec{b}
A
x
=
b
?
QUESTION
What is the matrix equation for the system
−
2
x
+
5
y
=
9
-2x+5y=9
−
2
x
+
5
y
=
9
and
0
x
−
3
y
=
−
6
0x-3y=-6
0
x
−
3
y
=
−
6
?
QUESTION
What matrix equation represents
y
−
3
x
=
2
y-3x=2
y
−
3
x
=
2
and
5
x
+
2
y
=
1
5x+2y=1
5
x
+
2
y
=
1
using variable order
x
,
y
x,y
x
,
y
?
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ANSWER
[
−
3
1
5
2
]
[
x
y
]
=
[
2
1
]
\begin{bmatrix}-3&1\\5&2\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}2\\1\end{bmatrix}
[
−
3
5
1
2
]
[
x
y
]
=
[
2
1
]
. Reorder
y
−
3
x
=
2
y-3x=2
y
−
3
x
=
2
to
−
3
x
+
y
=
2
-3x+y=2
−
3
x
+
y
=
2
for standard variable order.
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