Alternate coordinate systems (bases)
Explore orthogonal projections in alternate coordinate systems, mastering techniques to transform and represent vectors efficiently, while enhancing spatial reasoning and mathematical precision.
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VIDEOS

Visualizing a projection onto a plane
Khan Academy
•11th - 13th Grade
•10 Qs

Projections onto subspaces
Khan Academy
•10th - 12th Grade
•10 Qs

A projection onto a subspace is a linear transformation
Khan Academy
•11th - 13th Grade
•5 Qs

Subspace projection matrix example
Khan Academy
•11th - 13th Grade
•10 Qs

Projection is closest vector in subspace
Khan Academy
•10th - 12th Grade
•10 Qs

Another example of a projection matrix
Khan Academy
•10th - 12th Grade
•10 Qs

Least squares approximation
Khan Academy
•11th - 13th Grade
•5 Qs

Another least squares example
Khan Academy
•9th - 12th Grade
•10 Qs

Least squares examples
Khan Academy
•10th - 12th Grade
•10 Qs