Linear Algebra Abridged
Linear algebra is the study of linear maps on finite-dimensional vector spaces. Eventually we will learn what all these terms mean. In this chapter we will define vector spaces and discuss their elementary properties. In linear algebra, better theorems and more insight emerge if complex numbers are investigated along with real numbers.
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Inner Product Spaces - Axler
linear.axler.net164 CHAPTER 6 Inner Product Spaces 6.A Inner Products and Norms Inner Products x Hx , x L 1 2 The length of this vectorp xis x 1 2Cx 2 2. To motivate the concept of inner prod-uct, think of vectors in R2and R3as arrows with initial point at the origin.
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