Question

Question1

Determine whether AC is defined. If it is defined, express the result as a single matrix; if it is not, say "not defined.

A)

0	5	−3
1	6	3

B)

1	1	0
−2	3	−3

c)

1	1
3	6
−6	1

Question 2

Determine whether CB is defined. If it is defined, express the result as a single matrix; if it is not, say "not defined."

A)

0	6	−6
1	2	2

B)

4	1	0
−1	6	−3

C)

2	1
3	2
−1	3

Answer 1

CE FI 17 1 36 1 L-61 ] The product of 2 matrices A and B is defined provided the No of Columns in A is equal to no- of rows in B. If A is an mxn matrix and B is an nxp matrix then product AB is an inxp matrix Here in A , No. of Columns =3 which is equal to no. of rows in C. AC Matrise is defined. AC - so 5 -37 rii 6 3 3.6 7-6 1 2x OXI +5X6+(-3 Toxi +5X3 + (-3) X 1x1 +686 +3XI IXI +6X3 +3X(-6 9- - 33 115 +18 30-3 7 401 1 +18-18 1+36 +3

A=50 6 Ii 2 -67 2] B.54 h or 6-3) c=52 17 K) 1-1 3 Matrise C, there are 2 columms 2 sowes are 2 columms and in B, there In ase ele there a - CB is defined and will be a 3x3 Matris 17.54. i 07. Hi 3]. 1X(-3) ] 12 2x4 + X(-1) 3x4 + 2X(-1) -184 +3 X (-1) ex I +146 3x1 +2x6 X1 +386 2x (-3) 3x (-3) ] 57 -37 -6 15