Choose which of 5 matrices are in a) row echelon form but not reduced b) reduced row echelon form c) neither.

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

Cramers Rule applied to 3 simultaneous equations

Cramers Rule applied to 3 simultaneous equations

Multiplication of $2 \times 2$ matrices.

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

Adding and subtracting two 3x3 matrices.

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

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

Multiplication of $2 \times 2$ matrices.

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

Elementary Exercises in multiplying matrices. 

Multiplication of $2 \times 2$ matrices.

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

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

Elementary Exercises in multiplying matrices. 

Multiplication of $2 \times 2$ matrices.

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

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

Multiplication of $2 \times 2$ matrices.

Cramers Rule applied to 3 simultaneous equations

Cramers Rule applied to 3 simultaneous equations

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

Perform basic operations with 2x2 matrices - addition, subtraction, multiplication by scalar, matrix multiplication, determinant, transpose

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. 

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

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 $n$.

aij  notation and definition of the order of a matrix.