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Math Problems
Algebra 2
Matrix vocabulary
5
+
5
+
234
5+5+234
5
+
5
+
234
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consider this matrix
\newline
−
10
−
10
6
9
\begin{matrix} -10 & -10 \ 6 & 9 \end{matrix}
−
10
−
10
6
9
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Question
2
2
2
\newline
*
\newline
1
1
1
point
\newline
Consider two matrices
A
\mathrm{A}
A
and
B
\mathrm{B}
B
. What is the order of the Matrix
A
B
A B
A
B
?
\newline
A
=
(
1
−
2
0
1
2
3
)
,
B
=
(
4
−
1
3
1
)
A=\left(\begin{array}{cc} 1 & -2 \\ 0 & 1 \\ 2 & 3 \end{array}\right), B=\left(\begin{array}{cc} 4 & -1 \\ 3 & 1 \end{array}\right)
A
=
⎝
⎛
1
0
2
−
2
1
3
⎠
⎞
,
B
=
(
4
3
−
1
1
)
\newline
3
×
3
3 \times 3
3
×
3
\newline
2
×
2
2 \times 2
2
×
2
\newline
2
×
3
2 \times 3
2
×
3
\newline
3
×
2
3 \times 2
3
×
2
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1
1
1
. Determine the rank of the matrix:
A
=
[
1
1
1
0
1
1
1
0
1
]
A=\left[\begin{array}{lll}1 & 1 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1\end{array}\right]
A
=
⎣
⎡
1
0
1
1
1
0
1
1
1
⎦
⎤
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Find the determinant of the matrix.
\newline
[
0
7
1
0
]
\left[\begin{array}{ll} 0 & 7 \\ 1 & 0 \end{array}\right]
[
0
1
7
0
]
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