alleryFor matrix A, rank(A) + nullity(A) =
ATrace
BNumber of columns of A (rank-nullity theorem)
C0
DNumber of rows
Answer & Solution
Correct answer: B. Number of columns of A (rank-nullity theorem)
**Rank-nullity theorem:** dim(col space) + dim(null space) = number of columns.
Fundamental result in linear algebra.
For invertible n×n: rank = n, nullity = 0.
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