My Math Forum How do I find the determinant of this matrix?

 Linear Algebra Linear Algebra Math Forum

 November 27th, 2016, 10:57 AM #1 Newbie   Joined: Nov 2016 From: Israel Posts: 4 Thanks: 0 How do I find the determinant of this matrix? I have the following matrix: A - square matrix of n*n as follows: I figured out that the determinant is $\displaystyle (-1)^n(n-1)$, but how do I prove it?
 November 27th, 2016, 01:59 PM #2 Global Moderator   Joined: May 2007 Posts: 6,526 Thanks: 588 The matrix isn't here.
 November 27th, 2016, 09:11 PM #3 Newbie   Joined: Nov 2016 From: Israel Posts: 4 Thanks: 0 Sorry, bad upload. This the matrix:
 November 27th, 2016, 10:02 PM #4 Senior Member     Joined: Sep 2015 From: USA Posts: 1,976 Thanks: 1026 given an $n \times n$ matrix the determinant appears to be $(-1)^{n-1} (n-1)$ now prove it using induction
 November 27th, 2016, 10:47 PM #5 Newbie   Joined: Nov 2016 From: Israel Posts: 4 Thanks: 0 I already know what the determinant is, I wrote it in the original post. What I don't know is how to prove it. I tried using induction ans it didn't work. Any other suggestions?
 November 28th, 2016, 03:20 AM #6 Newbie   Joined: Nov 2016 From: United Kingdom Posts: 1 Thanks: 0 Okay i know this is irrelevant and it might sound stupid but this question is driving me crazy, If x=4 and y=−5 find y2(xy+18 ) can someone please help me and show me how to answer the question, thanks!
November 28th, 2016, 05:23 AM   #7
Newbie

Joined: Nov 2016
From: Israel

Posts: 4
Thanks: 0

Quote:
 Originally Posted by Mathmonsters Okay i know this is irrelevant and it might sound stupid but this question is driving me crazy, If x=4 and y=−5 find y2(xy+18 ) can someone please help me and show me how to answer the question, thanks!
I don't understand how that has any connection to my question...

 Tags determinant, find, matrix, proof

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post wortel Linear Algebra 1 January 6th, 2016 09:12 AM Favor Algebra 0 December 15th, 2015 08:25 AM jones123 Linear Algebra 3 April 24th, 2013 03:16 AM bull-roarer Algebra 2 May 23rd, 2009 02:44 PM battery Linear Algebra 1 November 21st, 2008 11:45 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top