🛠️ JEE➗ Maths

Let \(A=\left[\begin{array}{cc}i & -i \\ -i & i\end{array}\right], i=\sqrt{-1}\). Then, the system of linear equ…

Q1

Let \(A=\left[\begin{array}{cc}i & -i \\ -i & i\end{array}\right], i=\sqrt{-1}\). Then, the system of linear equation \(A^8\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{c}8 \\ 64\end{array}\right]\) has:

[JEE Main 2021, 16 Mar (Shift 1)]

a

Infinitely many solutions

b

No solution

c

Exactly two solutions

d

A unique solution

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