Project ForgeEngineering Mathematics
Linear Algebra
GATE 2019
Easy
A system of n homogeneous linear equations containing n unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is
- A1
- B−1
- 0
- D∞
Explanation
A homogeneous system Ax=0 has non-trivial (non-zero) solutions if and only if A is singular, i.e., det(A)=0.
Source: GATE CH 2019 (2019)
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