Multiplication of $2 \times 2$ matrices.

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

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 2x2 matrix.

This question tests students knowledge of basic matrix arithmetic.

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

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This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Invert a 3 x 3 matrix.

Solve a 3 x 3 matrix system.

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.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

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 $n$.

aij  notation and definition of the order of a matrix.

Multiplication of $2 \times 2$ matrices.

Cofactors Determinant and inverse of a 3x3 matrix.

Determinant and inverse of a 2x2 matrix.

aij  notation and definition of the order of a matrix.

aij  notation and definition of the order of a matrix.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

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 $n$.

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.)