Identify the singular and non-singular matrix. (i) [(1,4,9),(4,9,16),(9,16,25)] (ii) [(1,2,3),(4,5,6),(-2,-4,-6)]

Question

Identify the singular and non-singular matrix.

(i) \(\begin{bmatrix} 1 &4&9 \\[0.3em]4&9&16\\9&16&25\end{bmatrix}\)

(ii) \(\begin{bmatrix} 1 &2&3\\[0.3em]4&5&6\\-2&-4&-6\end{bmatrix}\)

Answer 1

If the determinant value of a square matrix is zero it is called a singular matrix. Otherwise it is nonsingular.

(i) Now

(ii) \(\begin{bmatrix} 1 &2&3\\[0.3em]4&5&6\\-2&-4&-6\end{bmatrix}\)