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The student is asked to write a matrix with a certain property, or tick a box labelled "this is impossible" if it can't be done.

A custom marking algorithm on the gap-fill part first checks if the student ticked the box. If they did, their answer is marked correct if it really is impossible. If they didn't tick it, their matrix is checked against the required property.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Multiplication of $2 \times 2$ matrices.

Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.

(Last three parts of original question removed.)

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Elementary Exercises in multiplying matrices. 

Multiplication of $2 \times 2$ matrices.

aij  notation and definition of the order of a matrix.

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

rebelmaths

Use the bareMatrices display flag to render a matrix without wrapping it in parentheses.

Set of matrices exercises for knowledge validation. Topics covered:

• Matrix Addition and Subtraction

Exercises in multiplying matrices. 

Matrixausfüllen

Given a linear programming problem in standard form, write down the dual problem.

Given a linear programming problem in standard form, write down the dual problem.

Given a linear programming problem in standard form, write down the dual problem.

Try to solve some simultaneous equations using matrix inverses.

Cofactors Determinant and inverse of a 3x3 matrix.

Matrix by scalar and matrix by matrix multiplication exercises.

Exercises on inverting 2x2 and 3x3 matrices.

Semi-worked example of inverting a 3x3 matrix using cofactor, adjoint and determinant.

Exercises on calculating the determinant of 2x2 and 3x3 matrices.

Exercises covering matrix addition and subtraction

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