Problem 7
a. Suppose A is an n n matrix with integer entries and det A = 1. Show that A 1 has all integer entries. b. Conversely, suppose A and A 1 are both matrices with integer entries. Prove that det A = 1.
Step-by-Step Solution:
Step 1 of 3
{^ytbrn: & ,&*"/ L,r*s +o s*1[.,,-, 5"f",. {(x,'1)" if willhrrt." bw( corvt af f$,g =g We gwyc* ft-..rtln< an,tt fl-e- *J |lw
Step 2 of 3
Chapter 5.2, Problem 7 is Solved
View Full Solution
Step 3 of 3
