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In this course, you will :
- Fundamentals of Linear Algebra and how to ace your Linear Algebra exam
- Basics of matrices (notation, dimensions, types, addressing the entries etc.)
- Operations on a single matrix, e.g. scalar multiplication, transpose, determinant & adjoint
- Operations on two matrices, including addition, subtraction and multiplication of matrices
- Performing elementary row operations and finding Echelon Forms (REF & RREF)
- Inverses, including invertible and singular matrices, and the Cofactor method
- Solving systems of linear equations using matrices and inverse matrices, including Cramer’s rule to solve AX = B
- Properties of determinants, and how to perform Gauss-Jordan elimination
- Matrices as vectors, including vector addition and subtraction, Head-to-Tail rule, components, magnitude and midpoint of a vector
- Vector spaces, including dimensions, Euclidean spaces, closure properties and axioms
