Find the inverse of the following matrice by elementary transformation :

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

Find the inverse of the following matrice by elementary transformation :
$[\begin{array}{ccc} 1 & 2 & 3 \\ 2 & 3 & 4 \\ 3 & 4 & 5 \end{array}]$

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$A = [\begin{array}{ccc} 1 & 2 & 3 \\ 2 & 3 & 4 \\ 3 & 4 & 5 \end{array}]$

|A| = 1(15 – 16) – 2(10 – 12) + 3(8 – 9) = – 1 + 4 – 3 = 0

Hence, the inverse of the given matrix does not exist.

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