simple sums of matrices and scalar mult of matrices.

Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Randomized size of the matrices and formula.

checking by size whether two matrices can be multiplied. Student either gives size of resulting product, or NA if matrices can't be multiplied.

checking by size whether two matrices can be multiplied. Student either gives size of resulting product, or NA if matrices can't be multiplied.

A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.

Comprehensive solution written out in Advice.

Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Randomized size of the matrices and formula.

Student can choose one of all possible matrix products from the matrices given. Meant for voluntary extra practice. No extensive solutions: referred to other questions for this.

A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.

Comprehensive solution written out in Advice.

Asking the student to create examples of two matrices which multiply to zero but are not themselves the zero matrix. Then getting the student to think about some features of these examples.

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

Multiplication of $2 \times 2$ matrices.

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

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

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

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Assessment of NCDCS Unit 1 material.

Multiplication of $2 \times 2$ matrices.

Adding and subtracting two 3x3 matrices.

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

(Last three parts of original question removed.)

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

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

Elementary Exercises in multiplying 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.

aij  notation and definition of the order of a matrix.

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

rebelmaths

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

Review of NCDCS Unit 1 material.

Use the bareMatrices display flag to render a matrix without wrapping it in parentheses.