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