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12271567
Vector Space
Description
Mind Map so that we could see a bigger picture of vector space
No tags specified
ma212
vector space
linear algebra
vector space
undergraduate
Mind Map by
Sweetie Happy
, updated more than 1 year ago
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Created by
Sweetie Happy
almost 7 years ago
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Resource summary
Vector Space
Linear Independence
Linear Span
Ax=b
Vector Subspace
Finite Dimensional Spaces
Basis / Base
Ordered, spanning set of linear independent vectors.
Change Base
Square Matrix
- Inverse of A exists.
Determinant is non zero
Rows of A are linearly independent.
x zero row after row reduction
rank(A) + nullity(A) = dim-dom A
Kernel(T) = Null Space
T(u) = 0
Range Space = Image Space
T(u) =v
scalar
Linear Transformations
Eg. Matrix Transformation
Inner Product Space
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