Let $ A _ {3 \times3}$ matrix and suppose that
$$2a_1 + a_2 - 4a_3 = 0$$
How many solutions will the system $Ax = 0$ have? Is $ A$ nonsingular?
(Underscore means subscript)
2026-04-12 19:42:10.1776022930
Matrix Solutions
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I'm not sure how many solutions this matrix have i think infinitely many. However, of course, A is singular matrix because Ax=0 means that the determinant of A is 0, also columns are linearly dependent so again we can easily see that detA=0. Therefore the matrix A is not invertible which means that A is singular.