Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Linear Algebra Matrix Algebra
Let A be an m × n matrix and B be an n × m matrix. Then which of the following statements is true?
1
rank(AB)>min(rank(A), rank(B))
2
rank(AB) ≤ min(rank(A), rank(B))
3
rank(AB) ≤ max(rank(A), rank(B)) - min(rank(A), rank(B))
4
rank(AB) > max(rank(A), rank(B)) - min(rank(A), rank(B))