Multiple choice

Directions: Carry Two Marks Each.

For the matrix P = $\begin{bmatrix} \ 4+3i & -i \ \ i & 4-3i \ \end{bmatrix}$, where i = $\sqrt{-1}$, the inverse of matrix P is

  1. $\frac{1}{24}\begin{bmatrix} \ 4-3i & i \\ \ -i & 4+3i \\ \end{bmatrix}$
  2. $\frac{1}{25}\begin{bmatrix} \ i & 4-3i \\ \ 4+ 3i & -i \\ \end{bmatrix}$
  3. $\frac{1}{24}\begin{bmatrix} \ 4+3i & -i \\ \ i & 4-3i \\ \end{bmatrix}$
  4. $\frac{1}{25}\begin{bmatrix} \ 4+3i & -i \\ \ i & 4-3i \\ \end{bmatrix}$
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A Correct answer
Explanation

$\text{For a given matrix } P=\begin{bmatrix} \ 4+3i & -i \ \ i & 4-3i \ \end{bmatrix}\\ where,\\ \hspace{1.5cm} i=\sqrt{-1,}\text{the inverse of matrix P=?} $

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