1.

The inverse of the matrix X = \(\begin{bmatrix}2& 0 & 0 \\[0.3em]0 & 3 & 0 \\[0.3em]0 & 0 & 4\end{bmatrix}\) is :[(2,0,0),(0,3,0),(0,0,4)](a) \(24\begin{bmatrix}1/2& 0 & 0 \\[0.3em]0 & 1/3 & 0 \\[0.3em]0 & 0 & 1/4\end{bmatrix}\)(b) \(\frac{1}{24}\begin{bmatrix}1& 0 & 0 \\[0.3em]0 & 1 & 0 \\[0.3em]0 & 0 &1\end{bmatrix}\) (c) \(\frac{1}{24}\begin{bmatrix}2& 0 & 0 \\[0.3em]0 & 3 & 0 \\[0.3em]0 & 0 &4\end{bmatrix}\) (d) \(\begin{bmatrix}1/2& 0 & 0 \\[0.3em]0 & 1/3 & 0 \\[0.3em]0 & 0 & 1/4\end{bmatrix}\)

Answer»

Option :  (d) \(\begin{bmatrix}1/2& 0 & 0 \\[0.3em]0 & 1/3 & 0 \\[0.3em]0 & 0 & 1/4\end{bmatrix}\)



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