What you can do

• Add, subtract, multiply, transpose and raise to powers
• Find determinants by cofactors or by row reduction
• Find inverses by Gauss-Jordan, with exact fractions
• Row reduce any matrix to reduced row echelon form, with its rank
• Find eigenvalues and eigenvectors, exactly where possible
• Watch a 2 by 2 matrix transform a grid, and see what kind of transformation it is
• Practise with random questions and worked solutions