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Vectors in n-Space, Addition, Subtraction, Scaling, Example - Linear Algebra
6 months ago
54
Science
Education
linear algebra
vectors in n-spaces
vector space
vector spaces
vector space linear algebra
linear algebra vector spaces
vector spaces linear algebra
شرح vector space linear algebra
linear algebra vector space proof
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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