JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(A=\left[\begin{array}{cc}i & -i \\ -i & i\end{array}\right], i=\sqrt{-1}\).Then, the system of linear equations \(A^{8}\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{c}8 \\ 64\end{array}\right]\) has :
- A A unique solution
- B Infinitely many solutions
- C No solution
- D Exactly two solutions
Answer & Solution
Correct Answer
(C) No solution
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{cc}i & -i \\ -i & i\end{array}\right]\) \(A^{2}=\left[\begin{array}{cc}-2 & 2 \\ 2 & -2\end{array}\right]=2\left[\begin{array}{cc}-1 & 1 \\ 1 & -1\end{array}\right]\)…
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