Ivan Shishkin, Birch Grove

Matrix

Concept history

A revision trail for this concept page.

6 revisions

Revision 3202

8/31/2026, 6:18:27 PM · Sequoia

Shared settings updated from fr translation

domainGeneral algebraLinear algebra

Revision 791

8/1/2026, 3:27:34 PM · Ancient Tree

Concept edited

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Revision 789

8/1/2026, 3:20:02 PM · Ancient Tree

Concept edited

This older revision predates detailed metadata tracking.

Revision 787

8/1/2026, 3:11:56 PM · Ancient Tree

Concept edited

Compare with revision 35511 changed lines
1##### Intuitive definition
2A matrix is a rectangular array of numbers arranged in rows and columns, such as
2A matrix is a rectangular array of numbers arranged in rows and columns, such as:
3$$A=\left(\begin{array}{ccc}
42 & 1 & -1 \\
51 & 4 & 7
6\end{array}\right),\; B=\left(\begin{array}{ll}
70 & 1 \\
81 & 0
9\end{array}\right)$$
3
4##### Formal definition
5A matrix over a field $k$ is ...
12A $m\times n$ matrix over a field $k$ is a family $A=(a_{ij})_{1\leq i\leq m,1\leq j\leq n}$ of elements of $k$, where $a_{ij}$ is called the $(i,j)$-entry, or coefficient, of $A$.

Revision 355

7/8/2026, 2:21:52 PM · Ancient Tree

Concept edited

Compare with revision 2616 changed lines
1A matrix is...
1##### Intuitive definition
2A matrix is a rectangular array of numbers arranged in rows and columns, such as
3
4##### Formal definition
5A matrix over a field $k$ is ...

Revision 261

7/7/2026, 10:38:57 AM · Ancient Tree

Concept created

A matrix is...