alleryFor a 2x2 matrix A with det A = 0, the system Ax = 0 has:
AOnly trivial solution
BINFINITELY many non-trivial solutions
CExactly two solutions
DNo solution
Answer & Solution
Correct answer: B. INFINITELY many non-trivial solutions
det A = 0 means A is singular (not invertible).
Homogeneous system Ax = 0 has nontrivial solutions exactly when A is singular.
With det A = 0, infinitely many solutions exist.
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