Calculate the determinant of the matrix and decide if exists.

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Calculate the determinant of the matrix C=(120345067)C=\begin{pmatrix}1 & 2 & 0\\ 3 & 4 & 5\\ 0 & 6 & 7\end{pmatrix} and decide if C−1C^{-1} exists.

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