MATH 23A Lecture Notes - Lecture 2: Junkers J.I

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cerisegiraffe538

15 Feb 2018

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/ 1(t) < + t-v"j t,)(. P ( i , 2 , 3) md & (- 1 1. 1a) "i- 1 + ol,t j =- j 1 + tot. Tk, fu et ry1 e,f-o, pttrn me,t-r,c- iqwj. ,h i,ris y, ~ l- "2t. : + prod cj-s. I 2 (cid:141) 3 i 4.

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"A matrix A is said to be skew symmetric if A^T = - A.Show that if a matrix is skew symmetric, then its diagonal must allbe 0."
Where A^T works as such: say you have a 2x3 matrix suchthat row one is [ 1 2 3 ] and row two is [ 4 5 6 ]. Then the resultwould be a 3x2 matrix such that the first Column is 1, 2, 3 and thesecond Column is 4,5,6 {Sorry, can't seem to put matrices in here.}
I roughly understand how A^T=-A but I have no idea how toprove it and have been stuck on it for a couple days. Any helpwould be very much appreciated.

MATH 23A Lecture Notes - Lecture 2: Junkers J.I

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