Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
← 55 members online
 0 viewing
anilorap
Group Title
find the det(A), where A is a square matrix satisfying the property that A(transpose)A=
I
 2 years ago
 2 years ago
anilorap Group Title
find the det(A), where A is a square matrix satisfying the property that A(transpose)A= I
 2 years ago
 2 years ago

This Question is Closed

anilorap Group TitleBest ResponseYou've already chosen the best response.0
\[A^{t}A=I\]
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
for square matrices DET(AB)=Det(A)Det(B)
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
I guess I should add that Det(I)=1 and Det(A)=Det(A^T)
 2 years ago

anilorap Group TitleBest ResponseYou've already chosen the best response.0
so i have \[\det(A ^{t} A)=\det(I)\] \[\det(A ^{t}) \det(A) =\det(I)\]
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
\[\det(A ^{t}) \det(A) =\det(I)=1\] \[\det(A) \det(A) =1\] \[\det(A)^2=1\] \[\det(A)=\pm\sqrt{1}=\pm1\]
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.