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Intro to dimension of a subspace and counting basis vectors
📝 My Notes
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Intro to dimension of a subspace and counting basis vectors
1:56
About this lesson
• Dimension = number of vectors in the basis
• Can we find dimension of column space and null space?
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Video 1 of 10
Intro to dimension of a subspace and counting basis vectors
2 min
• Selected
Finding the rank of a matrix using column space and pivot counting
6 min
Finding the dimension of a null space and the free variable shortcut
9 min
The Rank Theorem: relating rank and null space dimension
3 min
Finding the rank of a 3x3 matrix using row echelon form
8 min
Finding a basis and dimension for a subspace spanned by vectors
10 min
Finding the dimension of the null space of a 3x4 matrix
20 min
Finding column space basis, rank, and null space dimension using the rank theorem
5 min
Finding rank of A using the null space basis and rank theorem
5 min
Finding null space dimension using the rank theorem with variables
3 min