Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution.

A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.

Comprehensive solution written out in Advice.

Use matrix multiplication to get an equation for \(k\) which is then to be solved.

To understand matrix multiplication in terms of linear combinations of column vectors.

Asking the student to create examples of two matrices which multiply to zero but are not themselves the zero matrix. Then getting the student to think about some features of these examples.

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

Find the determinant of a $3 \times 3$ matrix.

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Multiplication of $2 \times 2$ matrices.

Demo question showing how to use the matrix maths functions in JavaScript.

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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. 

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