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**column space:** the set of all possible outputs Av is the column space of A
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**column space:** the set of all possible outputs Av is the column space of A
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**full rank:** When the rank equals the number of columns
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**full rank:** When the rank equals the number of columns
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**null space/kernel:** the space of all vectors that become null following a transformation
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**null space/kernel:** the space of all vectors that become null following a transformation
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**span:**
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**span:** a set of all linear combination of two vectors
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**linear combination:** an expression constructed from a set of terms by multiplying each term by a constant and adding the results
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