Home > PC > Chapter 12 > Lesson 12.2.2 > Problem 12-55
12-55.
Let
Show that
if . Find two other vectors b and c such that
and . Think before rushing to compute. In general,
Set up a system of equations and solve for
in terms of . Find a vector d such that
. For parts (c), (d), and (e), follow the steps in part (b).
Show that there is no vector
such that . Show that there is no vector
such that if . Solving for
in the top equation and in the bottom equation: By substitution:
Since we have assumed
, divide by and solve for .