Computations with Weighted Euclidean Inner Product | Linear Algebra Exercises

We go over several examples of basic computations in an inner product space with respect to a weighted euclidean inner product on R^2. We compute weighted Euclidean inner products, we use the additivity property, compute distance in the inner product space, and compute the norm of a vector in the space using the inner product. #linearalgebra
Inner Products and Inner Product Spaces: (coming soon)
Linear Algebra course: • Linear Algebra
Linear Algebra exercises: • Linear Algebra Exercises
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0:00 Intro
0:38 Weighted Euclidean Inner Product
1:15 Scalar times Inner Product
1:55 Additivity Inner Product
3:03 Norm with Inner Product
4:00 Distance in Inner Product Space
5:05 Norm of Scaled Vector
5:48 Conclusion
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