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Results tagged with matrix
Search options questions only
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user 66833
This tag is for challenges involving matrices. A matrix, also known as a 2D array, is a list of numbers arranged in a rectangle with rows and columns.
16
votes
5
answers
759
views
Dominate a zero-sum game
You are to take a rectangular matrix \$n\times m\$, where \$n, m \ge 2\$, and output the same matrix with all dominated options removed. … The matrix is not guaranteed to contain any dominated options. The matrix may be reduced to a \$1\times1\$ matrix, at which point there are no more dominated options. …
- 50.3k
27
votes
47
answers
3k
views
Output a Latin Square
For example,
$$\begin{matrix}
A & B & C \\
C & A & B \\
B & C & A \\
\end{matrix}$$
is a Latin square as no row or column contains a repeated value. …
- 50.3k
29
votes
23
answers
4k
views
Calculate the inverse of a matrix
\begin{matrix}
\left|\begin{matrix}
-7 & 6 \\
7 & 6
\end{matrix}\right| &
\left|\begin{matrix}
-4 & 6 \\
5 & 6
\end{matrix}\right| &
\left|\begin{matrix}
-4 & -7 \\
5 & 7
\end{matrix}\right| \\ … matrix}
-3 & 0 \\
-7 & 6
\end{matrix}\right| &
\left|\begin{matrix}
4 & 0 \\
-4 & 6
\end{matrix}\right| &
\left|\begin{matrix}
4 & -3 \\
-4 & -7
\end{matrix}\right|
\end{matrix}\right]^T \\
& = \ …
- 50.3k
19
votes
6
answers
797
views
Is it an elementary matrix?
We'll say that an integer matrix is an "elementary matrix" if it is exactly one elementary row operation away from the identity matrix. … and indicate whether it is an elementary matrix or not. …
- 50.3k
19
votes
4
answers
748
views
Calculate the integer square root of a matrix
For example, let
$$A = \left[ \begin{matrix}
-3 & 2 \\
0 & -1
\end{matrix} \right]$$
Therefore,
$$\begin{align}
A^2 & = \left[ \begin{matrix}
-3 & 2 \\
0 & -1
\end{matrix} \right]^2 \\
& = \left[ \ … begin{matrix}
-3 & 2 \\
0 & -1
\end{matrix} \right] \times \left[ \begin{matrix}
-3 & 2 \\
0 & -1
\end{matrix} \right] \\
& = \left[ \begin{matrix}
-3 \times -3 + 2 \times 0 & -3 \times 2 + 2 \times …
- 50.3k