Question

Is it true if the determinant of a 3x3 matrix is non-zero, then does that mean it is Linearly Independent and a Basis to R3?

Thank you

Answer 1

...then the row vectors or the column vectors of that matrix are linearly indep. and necessarily form a basis for R^3, yes.

Answer 2

Thanks James, its just that it was a 7mark question and seemed to good to be true lol