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Second Order Linear Homogeneous DE with Constant Coefficients

More on the 2 by 2 Jordan Form

Covariance of Two Vectors

Orthogonal Diagonalization Example

Linearity of Matrix-Vector Multiplication

Two ways to multiply a matrix and vector

Existence of Solutions to Ax=b

Matrix times a vector

Different ways of writing systems of Linear Equations

Change of Basis Matrix

Symmetric and Skew-Symmetric Matrices

Closure under Vector Addition

The Matrix of a Linear Transformation

Coordinate Vectors

The Image of a Function

Vectors in R^n

Subspaces of Vector Spaces

Vector Spaces over a Field

Jordan Form for 2 by 2 Complex Matrices

Extension field with roots

Fubini’s theorem for double integrals

Similar Matrices

Trace of a Matrix

Number of solutions to Ax=b