Matrices Modeling Contexts
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the result of scalar multiplication of
2
2
2
and
[
1
2
3
4
]
\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}
[
1
3
2
4
]
?
QUESTION
Find rank of a matrix given
[
1
2
3
6
]
\begin{bmatrix} 1 & 2 \\ 3 & 6 \end{bmatrix}
[
1
3
2
6
]
.
QUESTION
Calculate the determinant of
[
3
8
4
6
]
\begin{bmatrix} 3 & 8 \\ 4 & 6 \end{bmatrix}
[
3
4
8
6
]
.
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ANSWER
Determinant is -14.
det
=
(
3
)
(
6
)
−
(
8
)
(
4
)
=
18
−
32
=
−
14
\det = (3)(6) - (8)(4) = 18 - 32 = -14
det
=
(
3
)
(
6
)
−
(
8
)
(
4
)
=
18
−
32
=
−
14
.
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