Exclusive to AI HL, matrices are introduced with students learning to define and perform operations including addition, subtraction, scalar multiplication and matrix multiplication, understanding why multiplication is non-commutative. Determinants and inverses are calculated by hand for 2×2 matrices and with technology for larger ones, and used to solve systems of linear equations. The content extends to eigenvalues and eigenvectors for 2×2 matrices, including diagonalisation and its application to computing powers of matrices — connecting to real-life contexts such as population modelling and Markov chains.
Start here
Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
Video lessons
Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.
Take the mock exams
It’s time to put your knowledge to the test with our mock exams — the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.
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