Everything needed for linear algebra served in a small course
Free
What you'll learn
- Linear algebra for college level
- eigfen value eigen vector system
- how to work on advanced algebraic problems
- gaining knowledge on hard problem solving
Requirements
- basic mathematics knowledge
Description
here you get to learn from vectors to equation systems to eigen value and
eigenvectors . you get to analyze and learn how to work on it as well in the
future as well. the perspective is the main key for upgradation in the
linear algebra course for the college level all the way.
Operations on one matrix, including solving linear systems, and Gauss-Jordan
elimination
Operations on two matrices, including matrix multiplication and elimination
matrices
Matrices as vectors, including linear combinations and span, linear
independence, and subspaces
Dot products and cross products, including the Cauchy-Schwarz and vector
triangle inequalities
Matrix-vector products, including the null and column spaces, and solving
Ax=b
Transformations, including linear transformations, projections, and
composition of transformations
Inverses, including invertible and singular matrices, and solving systems
with inverse matrices
Determinants, including upper and lower triangular matrices, and Cramer's
rule
Transposes, including their determinants, and the null (left null) and
column (row) spaces of the transpose
Orthogonality and change of basis, including orthogonal complements,
projections onto a subspace, least squares, and changing the basis
Orthonormal bases and Gram-Schmidt, including definition of the orthonormal
basis, and converting to an orthonormal basis with the Gram-Schmidt process
Eigenvalues and Eigenvectors, including finding eigenvalues and their
associate eigenvectors and eigenspaces, and eigen in three dimensions
