Question

what is a matrix ? ............​

Answer 1

Answer:

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

Answer 2

A matrix is a rectangular or square array of elements (usual numbers) arranged in rows and columns.

Explanation:

• A matrix is an ordered set of numbers arranged in rows and columns.

• The number of rows and columns of a matrix defines the matrix dimension.

• Matrices are usually shown by capital and bold letters such as $A, B,$ etc.
• For example, here matrix $A$ with $3$ rows and $2$ columns is shown by $A_{32}$ and matrix $B$ with $m$ rows and$n$ columns are shown by $B_{mn}$.

• Their elements are shown by small letters with an index indicating the position of the element in the matrix.      

⇒ $A_{32} =$ $\left[\begin{array}{ccc}a_{11} &a_{22} \\a_{21} &a_{22} \\a_{31} &a_{32} \end{array}\right]$            

⇒  $B_{mn} =\left[\begin{array}{ccc}b_{11} &b_{12}...&b_{13} \\b_{21} &b_{22...} &b_{23} \\b_{31} &b_{32...} &b_{33} \end{array}\right]$