Question

Identify the correct statement :

• A. If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is singular
• B. If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is non singular
• C. If $A ^{-1}$ exists, (adjA $)^{-1}$ may or may not exist
• D. $F(x)=\begin{bmatrix}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 0\end{bmatrix}$, then $F(x) \cdot F(y)=F(x-y)$

Answer 1

Answer: (B)

Correct answer is (b) If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is non singular