IB+Higher+Level+-+Matrices

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This topic will only be on the syllabus till the 2013 exams, so is not examinable on the new syllabus

4.1

Definition of a matrix: the terms "element", "row" , "column" and "order"

4.2

Algebra of matrices: equality; addition; subtraction; multiplication by a scalar.

Multiplication of matrices.

Identity and zero matrices.

4.3

Determinant of a square matrix.

Calculation of 2x2 and 3x3 determinants.

Inverse of a 2x2 matrix.

Conditions for the existence of the inverse of a matrix.

4.4

Solution of systems of linear equations using inverse matrices (a maximum of three equations in three unknowns)

Conditions for the existence of a unique solution, no solution and an infinity of solutions.

Pages relating to Matrices

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