Linear algebra and coupled first order differential equations

Linear applications

• Matrix representation
• Change of basis
• Determinant
• Null space and column space basis

Diagonalization

• Eigenvalues and eigenvectors
• Characteristic polynomial
• Diagonalization criterions

Applications

• Matrix powers
• Matrix exponential

Coupled first order differential equations

• Solving X’=AX with A diagonalizable
• Implementation in Python