ST228 Weeks 7 and 8
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17 Terms
1
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How does change of basis work?
2
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3
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Change of basis in terms of linear maps
4
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5
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Inner product, inner product space and associated norm
6
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What is the Cauchy-Schwarz Inequality? Prove it
7
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What are the different consequences of the cauchy-schwarz inequality?
8
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What is an orthogonal basis, set and orthogonal complement?
9
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Generalised Fourier coefficient of x
10
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Gram-Schmidt Method of Orthogonalisation and Definition of Vector Projections
11
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Closest element in span to x using fourier coefficients
12
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13
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Simple differentiability in smaller dimensions
14
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Frechet Differentiability in R² with tangents
15
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Frechet Differentiable in R^n
16
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Gradient and directional derivative
17
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