Vector Spaces
Rank of a Matrix
Counting the "useful" information in a matrix.
Requirements:
RREF
Difficulty:
3
Null Space (Kernel)
Finding vectors that a matrix squashes to zero.
Requirements:
Linear Transf.
Difficulty:
3
Column Space (Image)
The set of all possible outputs of a matrix.
Requirements:
Span
Difficulty:
3
Row Space
The space spanned by the rows of a matrix.
Requirements:
Column Space
Difficulty:
3
Rank-Nullity Theorem
The beautiful balance between rank and nullity.
Requirements:
Rank, Null Space
Difficulty:
4
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