Linear Algebra
with Applications
4.68 (17 reviews)
234
students
17.5 hours
content
Jan 2021
last update
$49.99
regular price
What you will learn
What are matrices and vectors.
Matrix and vector operations -- addition, subtraction, multiplication, dot product, and transposes.
How to determine if a matrix has an inverse and, if so, how to compute it.
Producing the row echelon form (REF) and reduced row echelon form (RREF) of a matrix.
How to solve systems of equations.
How to find the determinant and rank of a matrix.
What vector spaces and subspaces are.
What is the nullspace and column space of a matrix.
What are linear combinations of vectors, what is the span of a set of vectors, and is the set linearly independent.
What is a basis for a vector space, what are coordinate systems, and how to produce a change of basis.
What is the Invertible Matrix Theorem and why it tells us so much about a matrix.
Orthogonality of vectors, orthogonal projections, orthonormal sets, and orthogonal matrices.
How to perform the Gram-Schmidt orthogonalization process and how to use it to produce the QR factorization of a matrix.
How to find the eigenvalues and eigenvectors of a square matrix.
Less common topics, including least squares, the singular value decomposition, and and introduction to numerical linear algebra.
Related Topics
3669898
udemy ID
11/30/2020
course created date
7/16/2022
course indexed date
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