Videos uploaded by user “Mathematics 2: Linear Algebra - by Maurice Koster”
Math 2.3.5: Reduced row-echelon form (rref)
Elementary operations are discussed transforming a matrix A into rref(A). Technique: Gauss-Jordan elimination.
Math 2.11.2. Definition det(A) for general nxn matrix A
Using patterns, or permutations, we are able to generalize the determinant of a 3x3 matrix.
Math 2.8.10.: Proof of equivalence basis
We prove the theorem stating that the following two statements are equivalent: 1) B={v1,...vm} is a basis for subspace V 2) Each vector in V can be uniquely expressed as linear combination of the vectors in this basis.