Chapter 2 (Determinants)

Question 1

What are the equivalent statements

Answer 1

If A is invertible

Homogeneous system AX = 0 has only the trivial solution

R.R.E.F is In (identity)

A can be expressed as a product of elementary matrices (EA)

AX = b is consistent (for nx1 matrix b)

AX = b has exactly one solution (for nx1 matrix b)

det(A) NOT to 0