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Iran MO (2nd Round)
1983 Iran MO (2nd round)
3
Find the matrix A - [Iran Second Round 1983]
Find the matrix A - [Iran Second Round 1983]
Source:
December 30, 2010
linear algebra
matrix
linear algebra unsolved
Problem Statement
Find a matrix
A
(
2
×
2
)
A_{(2 \times 2)}
A
(
2
×
2
)
for which
[
2
1
3
2
]
A
[
3
2
4
3
]
=
[
1
2
2
1
]
.
\begin{bmatrix}2 &1 \\ 3 & 2\end{bmatrix} A \begin{bmatrix}3 & 2 \\ 4 & 3\end{bmatrix} = \begin{bmatrix}1 & 2 \\ 2 & 1\end{bmatrix}.
[
2
3
1
2
]
A
[
3
4
2
3
]
=
[
1
2
2
1
]
.
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