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A22

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

Distinct Eigenvalues Proof

Extending a Indep Set to a Basis

A22: Colourful Basis of a Linear Transformation

A System with a Particular Solution Set

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

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