8th Ed, §1.5, Exercise 12
| Show that if A = |
| is an elementary matrix, |
[Hints: Can A be elementary if c = 0?
If 0 ≠ c ≠ 1, what more can be said about a and b?
And what, finally, if instead c = 1?]
| First posted: 05 Feb 2006. |
|
8th Ed, §1.5, Exercise 12
then at least one entry in the third row must be a zero — but not c.
Show that if A =
1 0 0 0 1 0 a b c is an elementary matrix,
[Hints: Can A be elementary if c = 0?
If 0 ≠ c ≠ 1, what more can be said about a and b?
And what, finally, if instead c = 1?]
First posted: 05 Feb 2006.
