Ace Linear Algebra in 10 Hours (The Complete Course)
Study of lines, planes, and vectors, and the areas and spaces they create
4.73 (11 reviews)
170
students
10.5 hours
content
Jan 2025
last update
$64.99
regular price
What you will learn
Understand vectors geometrically and algebraically
Write a vector as a linear combination of other vectors
Identify in simple cases if a vector is in the span of others
Compute dot product and cross product of two vectors
Perform basic matrix operations (sum, scalar multiplication, transpose, matrix multiplication)
Understand the interpretation of matrix multiplication
Understand and use Gauss-Jordan and Gaussian Elimination to solve system of linear equations using matrix form
Determine number of solutions of a linear system
Understand subspaces in Rn
Relate the general solution to a non-homogeneous system to the solution of a homogeneous system (nullspace) and the particular solution
Interchange between a nullspace and generators
Understand the geometric interpretation of the general solution of a non-homogeneous system
Identify linear independence and dependency relationship
Identify the basis and dimension of a set of vectors
State and understand the Invertibility Theorem
Understand and perform operations of vectors (projection, cross product, and triple scalar product)
Study equations and geometric interpretation of lines and planes in R3
Determine the intersections and distances between lines and planes in R3
Find the inverse of a square matrix
Solve a system of linear equations using the inverse of the coefficient matrix
Find the determinants of larger (n>2) matrices using cofactor expansion and row/column operations
Solve a system of linear equations using Cramer's Rule
Find the inverse of a matrix using its adjoint matrix
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4565244
udemy ID
2/23/2022
course created date
8/23/2022
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