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A22

Winter 2022: MAT A22 Linear Algebra I for Mathematical Sciences

An old syllabus for MAT A22.

A System with a Particular Solution Set

We find a linear system with solution set $\operatorname{Span}({ (1,0,2,3), (0,1,4,5)})$.

Bessel's Inequality

We check a simple lemma leading up to Bessel’s Inequality.

A22: Colourful Basis of a Linear Transformation

Determinant, Volume, and Collapse

Distinct Eigenvalues Proof

Geometric and Algebraic Multiplicity Part 1

Geometric and Algebraic Multiplicity Part 2

Any three vectors in two-dimensional space are dependent.

Diagonalization of 2x2

Diagonalizing the matrix: \[ \begin{bmatrix} 1 & 2\ 2 & 1 \end{bmatrix} \]

Extending a Indep Set to a Basis

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