Linear Algebra Review and NumPy Basics1
Linear Algebra Review and NumPy Basics1
Chris J. Maddison
University of Toronto
1
Slides 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
Intro ML (UofT)
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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 ¡Ê Rd
Intro ML (UofT)
? ?
x1
? x2 ?
? ?
x =?.?
? .. ?
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 ¡Ê Rm¡Án
Intro ML (UofT)
STA314-Tut02
A
A1,2
A = 1,1
A2,1 A2,2
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