BIZNIQUE / LINEAR ALGEBRA / 01
Linear algebra for machine learning
Linear algebra for machine learning
See how a model turns rows of observations into predictions, transformations and lower-dimensional views.
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THE IDEA
Read the example.
Read the example.
A vector records an ordered set of values. A matrix can organise a dataset or describe a linear transformation. Multiplication combines the columns of A using the entries of x as weights. The picture shows the same grid before and after a shear.
y = Ax
Use it well
Use it well
Check the meaning, units and dimensions of every axis. A mathematically valid product can still combine the wrong quantities.
TRY IT YOURSELF
A quick check.
A quick check.
Under A = [[1, 1], [0, 1]], where does x = (2, 1) go?
Check your reasoning
Check your reasoning
Ax = (3, 1). The second coordinate stays fixed while it also contributes to the first coordinate.
CONTINUE EXPLORING
Explore this topic.
Explore this topic.
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