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Mathematics
Mathematics
Problem
Given
A
=
[
1
−
2
0
3
]
A = \begin{bmatrix}1 & -2\\0 & 3\end{bmatrix}
A
=
[
1
0
−
2
3
]
,
B
=
[
4
1
−
1
2
]
B = \begin{bmatrix}4 & 1\\-1 & 2\end{bmatrix}
B
=
[
4
−
1
1
2
]
and
C
=
[
5
3
2
−
1
]
C = \begin{bmatrix}5 & 3\\2 & -1\end{bmatrix}
C
=
[
5
2
3
−
1
]
, calculate
X
X
X
from
4
X
−
2
A
+
B
=
3
C
4X - 2A + B = 3C
4
X
−
2
A
+
B
=
3
C
. a)
[
17
4
5
4
3
2
3
4
]
\begin{bmatrix}\dfrac{17}{4} & \dfrac{5}{4}\\ \dfrac{3}{2} & \dfrac{3}{4}\end{bmatrix}
4
17
2
3
4
5
4
3
b)
[
13
4
1
7
4
1
4
]
\begin{bmatrix}\dfrac{13}{4} & 1\\ \dfrac{7}{4} & \dfrac{1}{4}\end{bmatrix}
4
13
4
7
1
4
1
c)
[
13
4
7
1
]
\begin{bmatrix}13 & 4\\ 7 & 1\end{bmatrix}
[
13
7
4
1
]
d)
[
9
4
3
7
4
−
11
4
]
\begin{bmatrix}\dfrac{9}{4} & 3\\ \dfrac{7}{4} & -\dfrac{11}{4}\end{bmatrix}
4
9
4
7
3
−
4
11
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