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Find the value of k for which the matrix M is singular.

Mathematics

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i) To find the value of kk for which the matrix MM is singular, we set its determinant to zero.
The matrix is M=[3−1241−20k4]M = \begin{bmatrix} 3 & -1 & 2 \\ 4 & 1 & -2 \\ 0 & k & 4 \end{bmatrix}.

Step 1: Calculate the determinant of MM.

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