MATA33H3 Lecture Notes - Mexican Peso, Associative Property, Commutative Property

• School: UTSC
• Department: Mathematics
• Course: MATA33H3

Document Summary

D & b must be the if we had c- then. Atb is the mxn matrix such that (a -113)ij+bij. Otherwise a-113 is undefined: d= 312 ) 3l - 1) Properties (1) a+b=bta (2)at cbt (3) a -10 -_a=c -1a. 13=1--1 5 4: 417)) = 1,, 2 matrix addition & scalar multiplication. Definition : if al b are both mxn matrices then the obtained by adding corresponding entries ah a & b , Is] . (-111-2)-131-4+21-34=47,, i;) b- 3 matrix multiplication (cid:15482) (cid:12200) ;] (2) ( htt> =d = ha -111t (3) ( ht) d= acta) (4) oa=o. 2l - 1) + c- 2) ( ll ) 9: + c- 1) 143, (-11+1-3344) 123a ( 13 -1c )=al3+dc ( a -113)c=ac -113c. Bide b- 2 + 2) =[y -(cid:15482) If a is a square matrix , d " identity matrix. - , ah be mxn matrices , i c.