Supercharge your learning!

Use adaptive quiz-based learning to study this topic faster and more effectively.

Summary of matrix operations

We summarise the matrix operations for the number $$x = 2$$ and the square matrices $$$ A = \begin{pmatrix} 0&1\\ 1&2 \end{pmatrix},\quad\; B = \begin{pmatrix} 1&2\\ 0&-1 \end{pmatrix} $$$
Operation Scalar multiplication Addition Multiplication
Notation $$$x A$$$ $$$A+B$$$ $$$A\times B$$$
Computation $$$\begin{pmatrix} 0&2\\ 2&4 \end{pmatrix}$$$ $$$\begin{pmatrix} 1&3\\ 1&1 \end{pmatrix}$$$ $$$\begin{pmatrix} 0&-1\\ 1&0 \end{pmatrix}$$$
Restrictions None Matrices must be the same size Number of columns of $$A$$ = number of rows of $$B$$