Question

Consider a Leniar Homogeneous system AX = 0, where A is N × N matrix and X is N × 1 vector. When we solve this 0 is null matrix of N × 1. Let R be the rank matrix for a for a Non-trivial solution.

• A. $R = N$
• B. $|A| ≠ 0$
• C. $|A| = 0$
• D. $R < N$

Answer 1

Answer: (C), (D)

$|A| = 0$

Answer 2

The correct answer is $|A| = 0$ and $R < N$