Page 102 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 102
In this case there are no restrictions on , , and ; that is, the given system has the unique solution
for all b.
Remark Because the system in the preceding example is consistent for all b, it follows from Theorem 1.6.4 that A is
invertible. We leave it for the reader to verify that the formulas in (3) can also be obtained by calculating .
Exercise Set 1.6
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In Exercises 1–8 solve the system by inverting the coefficient matrix and using Theorem 1.6.2.
1.
2.
3.
4.
5.
6.
7.
8.
Solve the following general system by inverting the coefficient matrix and using Theorem 1.6.2.
9.
