12271567
Description
Mind Map by Sweetie Happy, updated more than 1 year ago
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Created by Sweetie Happy
over 6 years ago
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Vector
Space
- Linear
Independence
- Linear Span
- Ax=b
- Vector Subspace
- Finite Dimensional Spaces
- Basis / Base
- Ordered, spanning set of linear independent vectors.
- Change Base
- Change Base
- Ordered, spanning set of linear independent vectors.
- Basis / Base
- Finite Dimensional Spaces
- 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
- T(u) = 0
- Range Space = Image Space
- T(u) =v
- T(u) =v
- Kernel(T) = Null Space
- scalar
- - Inverse of A
exists.
- Linear Transformations
- Eg. Matrix Transformation
- Eg. Matrix Transformation
- Inner Product Space
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