1.

Which of the following matrix has no inverse?(a) \( \begin{pmatrix} -1&1\\1&-4 \end{pmatrix}\)(b) \( \begin{pmatrix} 2&-1\\-4&2 \end{pmatrix}\)(c) \( \begin{pmatrix} cos\,a&sin\,a\\-sin\,a&cos\,a \end{pmatrix}\)(d) \( \begin{pmatrix} sin\,a&sin\,a\\-cos\,a&cos\,a \end{pmatrix}\)

Answer»

(b) \( \begin{pmatrix} 2&-1\\-4&2 \end{pmatrix}\)

So \( \begin{pmatrix} 2&-1\\-4&2 \end{pmatrix}\) has no inverse.



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