A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
How do you find the determinant of a 4X4 matrix? :)
anonymous
 3 years ago
How do you find the determinant of a 4X4 matrix? :)

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0u need to multiply each element of a row with the determinant of the 3x3 matrix

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.3\[A=\left\begin{array}{ccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\a_{2,1}&a_{2,2}&a_{2,3}&a_{2,4}\\a_{3,1}&a_{3,2}&a_{3,3}&a_{3,4}\\a_{4,1}&a_{4,2}&a_{4,3}&a_{4,4}\end{array}\right\] \[\quad=a_{1,1}\left\begin{array}{ccc}\\a_{2,2}&a_{2,3}&a_{2,4}\\a_{3,2}&a_{3,3}&a_{3,4}\\a_{4,2}&a_{4,3}&a_{4,4}\end{array}\righta_{1,2}\left\begin{array}{ccc}\\a_{2,1}&a_{2,3}&a_{2,4}\\a_{3,1}&a_{3,3}&a_{3,4}\\a_{4,1}&a_{4,3}&a_{4,4}\end{array}\right\]\[\qquad\qquad\qquad+a_{1,3}\left\begin{array}{ccc}\\a_{2,1}&a_{2,2}&a_{2,4}\\a_{3,1}&a_{3,2}&a_{3,4}\\a_{4,1}&a_{4,2}&a_{4,4}\end{array}\righta_{1,4}\left\begin{array}{ccc}\\a_{2,1}&a_{2,2}&a_{2,3}\\a_{3,1}&a_{3,2}&a_{3,3}\\a_{4,1}&a_{4,2}&a_{4,3}\end{array}\right\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.3that was a lots of typing

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks a million that's great :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Are the signs also important? ie. +  +  :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0very imp.. if not the result ll change a lot

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you, and do I multipy the diagonal terms and subtract to get a single figure?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.3\[B=\left\begin{array}{ccc}b_{1,1}&b_{1,2}&b_{1,3}\\b_{2,1}&b_{2,2}&b_{2,3}\\b_{3,1}&b_{3,2}&b_{3,3}\end{array}\right\]\[\qquad =b_{1,1}\left\begin{array}{ccc}b_{2,2}&b_{2,3}\\b_{3,2}&b_{3,3}\end{array}\rightb_{1,2}\left\begin{array}{ccc}b_{2,1}&b_{2,3}\\b_{3,1}&b_{3,3}\end{array}\right+b_{1,3}\left\begin{array}{ccc}b_{2,1}&b_{2,2}\\b_{3,1}&b_{3,2}\end{array}\right\] \[C=\left\begin{array}{ccc}c_{1,1}&c_{1,2}\\c_{2,1}&c_{2,2}\end{array}\right\]\[\qquad=c_{1,1}c_{2,2}c_{1,2}c_{2,1}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you I understand it now :)
Ask your own question
Sign UpFind more explanations on OpenStudy
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.