Debug Info:
{
"title": "Matrix",
"symbol": "[ ]",
"definition": "A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.",
"usage": "Matrices are often used to represent linear transformations and solve systems of linear equations.",
"examples": [
{
"description": "2x2 matrix",
"latex": "A = \\begin{bmatrix} a & b \\\\ c & d \\end{bmatrix}"
},
{
"description": "Matrix multiplication",
"latex": "AB = \\begin{bmatrix} a & b \\\\ c & d \\end{bmatrix} \\begin{bmatrix} e & f \\\\ g & h \\end{bmatrix}"
}
],
"tags": [
"linear algebra",
"arrays",
"linear transformations"
],
"relatedConcepts": [
"determinant",
"vector",
"eigenvalue"
]
}
Matrix
Symbol
[ ]
Definition
A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Usage
Matrices are often used to represent linear transformations and solve systems of linear equations.
Examples
Description: 2x2 matrix
LaTeX: A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}
Description: Matrix multiplication
LaTeX: AB = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \begin{bmatrix} e & f \\ g & h \end{bmatrix}