Quiz 3, 4/13/2006, Math 221, s. 02
Suppose the 2 × 2 matrix A = [ a b ] is invertible and satisfies: c dProve:A A = I2 × 2 ,
A = AT , and
det(A) < 0 .
Please do not consult outside sources (books, notes, web, people) while working out this quiz.(a) b = c ;
(b) a2 + b2 = 1 ;
(c) det(A) = – 1 ; and
(d) d = – a .
Please do record the clock times at which you begin and end work on this quiz.
(The most likely expectation is a total elapsed time of not more than 15 minutes.)
And please do observe — and indicate your observance of — the Wesleyan Honor Code.
First posted: 16 Apr 2006. Math 221 Home Contents © 2006 by Fred E.J. Linton