Answer Happy

Linear algebra
Let A be a 3 x 3 matrix and suppose we know that -3a₁ - 3a₂ + 2a3 = 0 where a₁, a2 and a3 are the columns of A. Write a non-trivial solution to the system Ax = 0 4-8 X = Is A singular or nonsingular? Check the correct answer below. A. The matrix A is nonsingular because it is a square matrix. B. The matrix A is nonsingular because the homogeneous systems Ax = 0 has a non-trivial solution. C. The matrix A is singular because the homogeneous systems Ax = 0 has a non-trivial solution. D. The matrix A is singular because it is a square matrix.