Transforming matrices
To transpose a matrix
6HOHFW WKH DSSURSULDWH 7UDQVSRVH 0DWUL[ FRPPDQG
0$75,; 0$.( 751
< P
FRPSOH[ PDWUL[ RU
< %
FRQMXJDWLRQ
(QWHU RU VHOHFW WKH DUUD\ \RX ZDQW WR WUDQVSRVH
3UHVV \ WR WUDQVSRVH WKH PDWUL[
7KH ILUVW URZ RI WKH RULJLQDO PDWUL[ LV QRZ WKH ILUVW FROXPQ WKH RULJLQDO
VHFRQG URZ LV QRZ WKH VHFRQG FROXPQ DQG VR RQ
To invert a square matrix
3UHVV y
(QWHU RU VHOHFW WKH DUUD\ \RX ZDQW WR LQYHUW
3UHVV \ WR WUDQVSRVH WKH PDWUL[
To change the dimensions of an array
6HOHFW WKH 5HGLPHQVLRQ $UUD\ FRPPDQG
&5($7( 5'0
< %
(QWHU RU VHOHFW WKH DUUD\ WKDW \RX ZDQW WR UHGLPHQVLRQ
(QWHU D OLVW FRQWDLQLQJ WKH QHZ GLPHQVLRQV RI WKH DUUD\
^ URZ FROXPQ `
3UHVV \
(OHPHQWV IURP WKH RULJLQDO DUUD\ DUH SODFHG LQ URZPDMRU RUGHU LQWR
WKH QHZO\GLPHQVLRQHG DUUD\ ,I WKHUH DUH IHZHU HOHPHQWV LQ WKH QHZ
DUUD\ WKDQ LQ WKH RULJLQDO RQH WKH H[FHVV HOHPHQWV DUH GURSSHG ,I
WKHUH DUH PRUH HOHPHQWV LQ WKH QHZ DUUD\ WKDQ LQ WKH RULJLQDO RQH WKH
PLVVLQJ HOHPHQWV DUH ILOOHG ZLWK ]HURV RU LI WKH DUUD\ LV FRPSOH[
5'0
)RU H[DPSOH
Page 5-16
LI \RX ZDQW WKH FRQMXJDWH WUDQVSRVH RI D
23(5$7,216 75$1
1 2
^` UHVXOWV LQ
3 4
LI \RX ZDQW WUDQVSRVLWLRQ ZLWKRXW
1 2 3 4
0 0 0 0
0 0 0 0
Matrices and linear algebra