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In this chapter, we will build on our introduction to Matrices in Core Pure with Matrix Algebra. This involves learning about Eigenvalues and Eigenvectors, how we can use those to diagonalise a matrix and to finish with we will introduce the Cayley-Hamilton theorem.
After watching the AJMaths revision videos on Matrix Algebra I will be able to:
In this video we will introduce the concept of Eigenvalues and Eigenvectors and how we can find them for both 2×2 and 3×3 matrices.
In this video we will discover how we can reduce matrices to diagonal form by using eigenvalues and eigenvectors.
In this video we will introduce the Cayley-Hamilton Theorem and discuss the applications of this very useful theorem!
In this video we will take a look at answering some exam style questions on Matrix Algebra.
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