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Note that this agrees with Example 6 of Section 4.3.
Figure 6.4.3
Summary
Theorem 6.4.3 enables us to add yet another result to Theorem 6.2.7.
THEOREM 6.4.5
Equivalent Statements is multiplication by A, then the following are equivalent.
If A is an matrix, and if
(a) A is invertible.
(b) has only the trivial solution.
(c) The reduced row-echelon form of A is .
(d) A is expressible as a product of elementary matrices.
(e) is consistent for every matrix b.
