Answer:
The matrix is not invertible.
Step-by-step explanation:
We are given the following matrix in the question:
[tex]A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right][/tex]
Condition for invertible matrix:
A matrix is invertible if and only if the the determinant is non-zero.
We can find the determinant of the matrix as:
[tex]|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0[/tex]
Since the determinant of the given matrix is zero, the given matrix is not invertible.
