Representing Linear Systems with Matrices
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What does each row of
A
A
A
correspond to when writing a system as
A
x
⃗
=
b
⃗
A\vec{x}=\vec{b}
A
x
=
b
?
QUESTION
What is the size of
A
A
A
for a system of
3
3
3
equations in
2
2
2
variables written as
A
x
⃗
=
b
⃗
A\vec{x}=\vec{b}
A
x
=
b
?
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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