Question:

The eigenvectors of the matrix are:
\(A=\left(\begin{matrix} i & 1 \\   2 & -i  \end{matrix}\right)\)

Updated On: Mar 17, 2024
  • \(\begin{Bmatrix} \left(\begin{matrix} 1  \\   1-i  \end{matrix}\right),\left(\begin{matrix}   1  \\   1+i  \end{matrix}\right) \end{Bmatrix}\)
  • \(\begin{Bmatrix} \left(\begin{matrix} i  \\   1-i  \end{matrix}\right),\left(\begin{matrix}   1  \\   -1-i  \end{matrix}\right) \end{Bmatrix}\)
  • \(\begin{Bmatrix} \left(\begin{matrix} 1+i  \\   -1  \end{matrix}\right),\left(\begin{matrix}   1  \\   1+i  \end{matrix}\right) \end{Bmatrix}\)
  • \(\begin{Bmatrix} \left(\begin{matrix} 2+i  \\   1  \end{matrix}\right),\left(\begin{matrix}   1  \\   3-i  \end{matrix}\right) \end{Bmatrix}\)
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The Correct Option is B

Solution and Explanation

The correct option is(B): \(\begin{Bmatrix} \left(\begin{matrix} i  \\   1-i  \end{matrix}\right),\left(\begin{matrix}   1  \\   -1-i  \end{matrix}\right) \end{Bmatrix}\)
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