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

(Last three parts of original question removed.)

Given two ordered sets of vectors $S,\;T$ in $\mathbb{R^5}$ find the reduced echelon form of the matrices given by $S$ and $T$ and hence determine whether or not they span the same subspace.

Multiplying two 2 x 2 matrices.

aij  notation and definition of the order of a matrix.

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

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

rebelmaths

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

Multiplication of $2 \times 2$ matrices.

Multiplication of $2 \times 2$ matrices.

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

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

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

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

Three questions on linear combinations and products of matrices.

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

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

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

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

Exercises in multiplying matrices. 

Multiplication of $2 \times 2$ matrices.

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

Multiplication of $2 \times 2$ matrices.

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

Multiplication of $2 \times 2$ 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.

Multiplication of $2 \times 2$ matrices.

Multiplication of $2 \times 2$ matrices.