Regression Line

Gram Schmidt Process

Singular Value Decomposition example

Symmetric Matrices with different eigen vectors are mutually perpendular

Regression line using linear algebra (projection matrix)

Direct Sum

Union and Intersection of Subspaces

Sum of Subspaces

Two ways to think about Matrix vector product

Orthogonal Matrices

Linear Algebra review

Regression line using projection matrix

Projection Matrices in Linear Algebra

Linear Algebra Review

Diagonalizaton of 2 by 2 Matrix

Eigen Val and Eigen Vec Calculation for 2 by 2 matrix

The four subspaces and their interactions

Row Column Null Span Space

Vector Equation of Plane and 3 forms of equation of line in 3d

Determinant and area of triangle in 2dimension

Here is a visual proof