SOME OTHER THINGS YOU SHOULD KNOW FOR MATH 360

• Fundamental Theorem of Homogeneous Systems
• Comparison Theorem
• Contraction Lemma / Theorem
• Expansion Lemma / Theorem
• The “Right-Size” Theorem

• Cauchy-Schwarz Inequality

• Properties of a Linear Transformation
• How the properties of a linear transformation relate to those of its matrix
• The Dimension Theorem for linear transformations
• The Classification Theorem for finite dimensional vector spaces

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