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If \(A = \begin{bmatrix}\frac {-1+ i \sqrt3}{2 i} &\frac{-1- i \sqrt3}{2 i} \\\frac{1+ i \sqrt3}{2 i} & \frac{1- i \sqrt3}{2 i}\end{bmatrix}\), \(i = \sqrt {-1}\) and \(f(x) = x^2 + 2\), then would \(f(A)\)
(a) \((\frac {5-i \sqrt3}{2})\)\(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)
(b) \((\frac {3-i \sqrt3}{2})\)\(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)
(c) \(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)
(d) \((2 + i \sqrt3)\)\(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)
Updated Mon, 02 Sep 2019 11:04 am
Increasing order of ionic size for the ions, F\(^{-}\), O\(^{2-}\), Na\(^{+}\), Al\(^{3+}\) is :
(a) O\(^{2-}\) < F\(^{-}\) < Na\(^{+}\) < Al\(^{3+}\)
(b) Al\(^{3+}\) < Na\(^{+}\) < F\(^{-}\) < O\(^{2-}\)
(c) O\(^{2-}\) < Na < F\(^{-}\) < Al\(^{3+}\)
(d) Al\(^{3+}\) < F\(^{-}\) < Na\(^{+}\) < O\(^{2-}\)
Updated Mon, 02 Sep 2019 10:08 am
