MATH-111(pi): Linear algebra (flipped classroom)

Lectures in this course (14)

Explores linear equations, infinity of solutions, and incompatible systems.

Explores basis change in linear algebra and the role of matrices.

Explores orthogonally diagonalizable matrices, eigenvectors, bases, and matrix properties.

Explores linearly dependent vectors in three-dimensional space and their impact on forming a basis.

Covers the concept of matrix reversibility and its conditions.

Covers the properties of matrices, focusing on determinants and inverses.

Explains matrix transformation in different bases and how to find the new matrix.

Covers the calculation of dimensions in linear algebra, focusing on determining the dimension of the kernel of a given matrix.

Explores the infinite solutions of a specific matrix equation for any choice of a constant.

Introduces vector subspaces and canonical forms in polynomial spaces.

Explores linear maps and linear independence under surjective linear maps.

Explores the associativity property of matrix multiplication for proving products equal to zero.

Explores elementary matrix operations, inversion, and properties, including distributive multiplication.

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

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