Matrices

When you have finished this chapter you should be able to 1.add and subtract matrices2.multiply matrices3.state that in general AB ≠ BA4.write down the 2 × 2 and 3 × 3 identity matrices5.rewrite simultaneous equations in matrix form6.calculate the determinant of a 2 × 2 and 3 × 3 matrix7.calculate the inverse of a 2 × 2 and 3 × 3 matrix when the inverse exists8.solve simultaneous equations by inverse matrix methods9.solve simultaneous equations by elimination10.understand why simultaneous equations do not always have a unique solution11.find when simultaneous equations have no solutions12.find when simultaneous equations have infinitely many solutions, and find such solutions