Question

A system of linear equations represented in matrix form Ax = 0, A is n × n matrix, has a non-zero solution if the determinant of A (i.e., det(A)) is

Options

• 0

• non-zero

• 1

• –1

Answer 1

0

Explanation:

Since a system of linear equations represent in form Ax = 0 therefore system of equations are homogeneous linear equation and we know that for non-zero (non-trivial) solution |A| = 0.