Properties of Matrices (Edexcel A-Level Further Mathematics): Flashcards

Rectangular arrays of numbers in rows and columns

$i$ is row number, $j$ is column number

Matrix with only one row ($1 \times n$)

Matrix with only one column ($m \times 1$)

Same number of rows and columns ($n \times n$)

Matrices must have the same dimensions

Multiply every element of the matrix by the scalar

Left to right in first, top to bottom in second

No, generally $AB \neq BA$

Inner dimensions must match