Computer Sciences > GATE 2026 SET-1 > Linear Algebra
Let n > 1. Consider an n × n matrix M with its elements from ℝ. Let the vector (0, 1, 0, 0, …, 0) ∈ ℝn be in the null space of M.

Which of the following options is/are always correct?
A
Determinant of M is 1
B
Determinant of M is 0
C
Rank of M is 1
D
There are at least two non-zero vectors in the null space of M

Correct : b,d

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