Linear Algebra Review and NumPy Basics1
Linear Algebra Review and NumPy Basics1
Chris J. Maddison
University of Toronto
1Slides adapted from Ian Goodfellow's Deep Learning textbook lectures
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About this tutorial
Not a comprehensive survey of all of linear algebra. Focused on the subset most relevant to machine learning. Larger subset: e.g., Linear Algebra by Gilbert Strang
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Scalars
A scalar is a single number Integers, real numbers, rational numbers, etc. Typically denoted in italic font:
a, n, x
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Vectors
A vector is an array of d numbers xi be integer, real, binary, etc. Notation to denote type and size:
x Rd
x1
x = x...2 xd
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Matrices
A matrix is an array of numbers with two indices
Ai,j be integer, real, binary, etc.
Notation to denote type and size:
A Rm?n
A = A1,1 A1,2 A2,1 A2,2
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