Linear Algebra Full Course | Linear Algebra for beginners

What you'll learn
✓Operations on one matrix, including solving linear systems, and Gauss-Jordan elimination
✓Matrices as vectors, including linear combinations and span, linear independence, and subspaces
✓Matrix-vector products, including the null and column spaces, and solving Ax=b
✓Inverses, including invertible and singular matrices, and solving systems with inverse matrices
✓Transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose
✓Orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process
✓Operations on two matrices, including matrix multiplication and elimination matrices

⭐⭐⭐⭐🕑TIME STAMP📋⭐⭐⭐⭐⭐
00:03:38 Solving Systems of Linear Equation
00:14:55 Using Matrices to solve Linear Equations
00:28:28 Reduced Row Echelon form
00:37:08 Gaussian Elimination
00:47:47 Existence and Uniqueness of Solutions
01:02:18 Linear Equations setup
01:09:31 Matrix Addition and Scalar Multiplication
01:19:13 Matrix Multiplication
01:31:28 Properties of Matrix Multiplication
01:38:58 Interpretation of matrix Multiplication
01:50:35 Introduction to Vectors
02:02:30 Solving Vector Equations
02:15:59 Solving Matrix Equations
02:24:20 Matrix Inverses
02:33:14 Matrix Inverses for 2*2 Matrics
02:38:30 Equivalent Conditions for a Matrix to be INvertible
02:45:34 Properties of Matrix INverses
02:56:06 Transpose
03:04:43 Symmetric and Skew-symmetric Matrices

03:13:54 Trace
03:23:01 The Determent of a Matrix
03:35:17 Determinant and Elementary Row Operations
03:47:28 Determinant Properties
03:58:54 Invertible Matrices and Their Determinants.....
04:04:23 Eigenvalues and Eigenvectors
04:20:55 Properties of Eigenvalues
04:32:03 Diagonalizing Matrices
04:45:16 Dot Product (linear Algebra )
04:49:41 Unit Vectors

04:54:41 Orthogonal Vectors
04:59:27 Orthogonal Matrices
05:07:06 Symmetric Matrices and Eigenvectors and Eigenvalues
05:12:05 Symmetric Matrices and Eigenvectors and Eigenvalues
05:18:17 Diagonalizing Symmetric Matrices
05:29:17 Linearly Independent Vectors
05:36:44 Gram-Schmidt Orthogonalization
05:49:43 Singular Value Decomposition Introduction
05:55:46 Singular Value Decomposition How to Find It
06:11:16 Singular Value Decomposition Why it Works

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[mytube]

⭐⭐⭐⭐🕑TIME STAMP📋⭐⭐⭐⭐⭐
00:03:38 Solving Systems of Linear Equation
00:14:55 Using Matrices to solve Linear Equations
00:28:28 Reduced Row Echelon form
00:37:08 Gaussian Elimination
00:47:47 Existence and Uniqueness of Solutions
01:02:18 Linear Equations setup
01:09:31 Matrix Addition and Scalar Multiplication
01:19:13 Matrix Multiplication
01:31:28 Properties of Matrix Multiplication
01:38:58 Interpretation of matrix Multiplication
01:50:35 Introduction to Vectors
02:02:30 Solving Vector Equations
02:15:59 Solving Matrix Equations
02:24:20 Matrix Inverses
02:33:14 Matrix Inverses for 2*2 Matrics
02:38:30 Equivalent Conditions for a Matrix to be INvertible
02:45:34 Properties of Matrix INverses
02:56:06 Transpose
03:04:43 Symmetric and Skew-symmetric Matrices

03:13:54 Trace
03:23:01 The Determent of a Matrix
03:35:17 Determinant and Elementary Row Operations
03:47:28 Determinant Properties
03:58:54 Invertible Matrices and Their
04:04:23 Eigenvalues and Eigenvectors
04:20:55 Properties of Eigenvalues
04:32:03 Diagonalizing Matrices
04:45:16 Dot Product (linear Algebra )
04:49:41 Unit Vectors

04:54:41 Orthogonal Vectors
04:59:27 Orthogonal Matrices
05:07:06 Symmetric Matrices and Eigenvectors and Eigenvalues
05:12:05 Symmetric Matrices and Eigenvectors and Eigenvalues
05:18:17 Diagonalizing Symmetric Matrices
05:29:17 Linearly Independent Vectors
05:36:44 Gram-Schmidt Orthogonalization
05:49:43 Singular Value Decomposition Introduction
05:55:46 Singular Value Decomposition How to Find It
06:11:16 Singular Value Decomposition Why it Works

from description

[omanagulay]

I watched other full course videos on Linear Algebra but still can't seem to understand its principles, but your way of explaining it really makes everything clear. I love your work; please keep being a blessing.

[khedimimohamednazim]

thank you so much your explanation is one of the best that i'have seen in my life

[smfvkwh]

Too fast for beginners.. but your explanation is very excellent!

[xnmnppq]

I'm only about 2 hours in, but does she deep into proofs at some point in the video?

[lohith]

It will be so helpful if you add the timestamps

[airmanfloyd]

Would you recommend Pre-Cal before Linear Algebra? The military will pay for my college but I need to learn it before hand. I can only go to school online and I've never taken anything other than Algebra.