Vectors in n-Space, Addition, Subtraction, Scaling, Example - Linear Algebra

4 months ago
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This video explains how vectors and their operations are extended or generalized from 2-space and 3-space to n space, including addition subtraction and scaling.

0:00 Analogies between vectors in 2-space and 3-space to n-space
1:30 Representing vectors in n-space
2:02 Equivalence of vectors in n-space
2:24 Adding, subtracting and scaling vectors using their components
4:31 Generalising vector operations and their properties to n-space
7:15 Representing vectors in n-space using matrices
7:54 Worked example, vector algebra in n-space

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