1. Vocabulary. Explain in your own words: (a) linear space (b) span (c) linear independence (d) basis...

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1. Vocabulary. Explain in your own words:

(a) linear space

(b) span

(c) linear independence

(d) basis

(e) finite dimensional linear space

(f) inner product, length, distance

(g) orthogonal vectors

(h) orthonormal vectors

(i) orthogonal matrix

(j) Graham-Schmidt orthogonalization

(k) Kronecker’s delta

(l) A preserves length

(m) A preserves separation

(n) A preserves inner products

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