Some custom CSS restyles the matrix input so it looks like a fraction, with input boxes on top and bottom.

Ideally, there should be a fraction input part type, or an option for the number entry part to display a fraction input.

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aij  notation and definition of the order of a matrix.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

A few questions which show off the new matrix entry part.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Solve a pair of linear equations by writing an equivalent matrix equation.

Multiplication of $2 \times 2$ matrices.

Multiplication of $2 \times 2$ matrices.

Find the determinants of three $2 \times 2$ invertible matrices.

Solve a pair of linear equations by writing an equivalent matrix equation.

Solve a pair of linear equations by writing an equivalent matrix equation.

Solve a pair of linear equations by writing an equivalent matrix equation.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Three questions on linear combinations and products of matrices.

Find the inverses of three $2 \times 2$ invertible matrices.

Find the determinants of three $2 \times 2$ invertible matrices.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

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$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Exercises in multiplying matrices. 

Multiplication of $2 \times 2$ matrices.

Multiplication of $2 \times 2$ matrices.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Multiplication of $2 \times 2$ matrices.