Span---how can I visualize the span of vectors?

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We have seen the formal definition of the span of a set of vectors. This definition may still leave you wondering what the span of a set of vectors "looks like". This video illustrates the simple case of the span of two vectors in the plane.
  1. MH1200
  2. Linear Span
  3. Mathematics (Field Of Study)
  4. Linear Algebra (Field Of Study)
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Just to let you know, this video helped someone sitting in another corner of the world after 6 years of uploading in his maths test.

harshneema
Автор

Thank you so much for this video, it was very informative! One thing that I need to understand though, is, both vector u and v starting from the origin of the axes because the scalar can also be 0 in the combination? and what about the span of a linear independent vectors? will there be cases when we can draw the vectors of a linear independent vectors from the origin also?

mfastuff