AP EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{cc}a+i b & c+i d \\ -c+i d & a-i b\end{array}\right]\) and \(A^{-1}=\left[\begin{array}{cc}a+i b & -c-i d \\ -c+i d & a-i b\end{array}\right]\). Find \(\left(a^2+b^2+c^2+d^2\right)\).
- A 1
- B -1
- C \(i\)
- D \(-i\)
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
Given matrix \(A=\left[\begin{array}{cc} a+i b & c+i d \\ -c+i d & a-i b \end{array}\right]\) So, \(\quad A^{-1}=\frac{1}{|A|}\left[\begin{array}{cc}a-i b & -c-i d \\ c-i d & a+i b\end{array}\right]\)…
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