Using Matrices to Represent, Manipulate Data
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What are the dimensions of
A
B
AB
A
B
if
A
A
A
is
m
×
n
m \times n
m
×
n
and
B
B
B
is
n
×
p
n \times p
n
×
p
?
QUESTION
Compute
2
A
2A
2
A
for
A
=
[
−
1
3
0
5
]
A=\begin{bmatrix}-1&3\\0&5\end{bmatrix}
A
=
[
−
1
0
3
5
]
.
QUESTION
Identify whether
A
B
AB
A
B
is defined if
A
A
A
is
2
×
3
2\times 3
2
×
3
and
B
B
B
is
2
×
2
2\times 2
2
×
2
.
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ANSWER
Not defined, since
3
≠
2
3\neq 2
3
=
2
for the inner dimensions. Column count of
A
A
A
doesn't match row count of
B
B
B
.
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