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.

Elementary Exercises in multiplying matrices. 

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

Multiplying two 2 x 2 matrices.

Multiplication of $2 \times 2$ matrices.

Multiplying two 2 x 2 matrices.

Cramers Rule applied to 3 simultaneous equations

Cofactors Determinant and inverse of a 3x3 matrix.

Determinant and inverse of a 2x2 matrix.

Elementary Exercises in multiplying matrices. 

Multiplying two 3x3 matrices.

Multiplying two 2x2 matrices.

aij  notation and definition of the order of a matrix.

aij  notation and definition of the order of a matrix.

aij  notation and definition of the order of a matrix.

Multiplying two 2 x 2 matrices.

Multiplying two 2 x 2 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.

Multiplication of $2 \times 2$ matrices.

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