Exercises in multiplying matrices. 

Three examples of determinant of 2x2 matrices.

Three examples of determinant of 2x2 matrices.

Multiplication of $2 \times 2$ matrices.

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

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

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Multiplication of $2 \times 2$ matrices.

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

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Multiplication of two matrices.

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

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.