Set of matrices exercises for knowledge validation. Topics covered:

• Matrix Addition and Subtraction

Multiplication of $2 \times 2$ matrices.

Exercises in multiplying matrices. 

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Elementary Exercises in multiplying matrices. 

Linear combinations of $2 \times 2$ matrices. Three examples.

Linear combinations of $2 \times 2$ matrices. Three examples.

Exercises on inverting 2x2 and 3x3 matrices.

Semi-worked example of solving simultaneous equations using matrices. Equation values are randomly generated. The student is walked through the steps needed to solve the equations.

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

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

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Addition and subtraction of matrices; multiplication by scalar.

A really simple question which asks the student to multiply two matrices.

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

rebelmaths

A really simple question which asks the student to multiply two matrices.

Cramers Rule applied to 3 simultaneous equations

Linear combinations of $2 \times 2$ matrices. Three examples.

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

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

rebelmaths

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

rebelmaths

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

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Multiplication of $2 \times 2$ matrices.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

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

A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Multiplication of $2 \times 2$ matrices.