Class 19

Sections 6.1 and 6.2 in text.

• Inner products: in particular, in Cⁿ (complex case)
• length of a vector (norm of a vector)
• distance between two vectors (norm of the difference of two vectors)
• orthogonal (perpendicular) vectors and the Pythagorean theorem
• Orthogonal complements and the four subspace theorem