Answer: 1.
- A 3
- B 2
- C 0
- D 1
Correct answer: D. 1
Explanation: Rank-nullity theorem: rank(A) + nullity(A) = number of columns n. Here 2 + nullity = 3, so nullity = 1. The null space is a 1-dimensional subspace (a line through the origin). Answer: 1.
Element aij of matrix A sits at the intersection of row i and column j.
Concept context
Matrix operations, determinants, inverses, and solving linear systems