analyze the solution set of a system of linear equations.
express some algebraic concepts (such as binary operation, group, field).
do elementary matrix operations.
express a system of linear equations in a matrix form.
do the elementary row operations for the matrices and systems of linear equations.
investigate the solution of a system using Gauss elimination.
apply Cramer’s rule for solving a system of linear equations, if the determinant of the matrix of coefficients of the system is not zero.
generalize the concepts of a real (complex) vector space to an arbitrary finite-dimensional vector space.
definite a vector space and subspace of a vector space.
explain properties of R^n and sub-spaces of R^n.
determine whether a subset of a vector space is linear dependent.
describe the concept of a basis for a vector space.
investigate properties of vector spaces and sub-spaces using by linear transformations.
express linear transformation between vector spaces.
represent linear transformations by matrices.
explain what happens to representing matrices when the ordered basis is changed.
describe the concepts of eigenvalue, eigenvector and characteristic polynomial.
determine whether a linear transformation is diagonalizable or not.
Who this course is for:
Academic Students.
Competitive Exam Preparation Aspirants.
Important information before you enroll!
Once enrolled, you have unlimited, 24/7,lifetime accessto the course (unless you choose to drop the course during the first 30 days).
You will haveinstant and free accessto any updates I’ll add to the course – video lectures, additional resources, quizzes, exercises.
You will benefit from my full support regarding any question you might have.
Check out the promo video at the top of this page and some of the free preview lectures in the curriculum to get a taste of my teaching style and methods before making your decision