MAT1503 Linear Algebra Assignment 2

MAT1503 Linear Algebra
Assignment 2
Question 1
a b c
d e f =8
g h i

(g+2a) (h+2b) (i+2c)
3a 3b 3c .
2d 2e 2f




See page 189 of Anton’s elementary linear algebra

(g+2a) (h+2b) (i+2c)
=3 a b c Factor out 3 from the 2nd row. Theorem 2.2.3a
2d 2e 2f



(g+2a) (h+2b) (i+2c)
=3x2 a b c Factor out 2 from the 3rd row. Theorem 2.2.3a
d e f



a b c
= (-) 3x2 (g+2a) (h+2b) (1+2c) Interchange the 1st and 2nd rows. Theorem 2.2.3b
d e f



a b c
= (-)(-) 3x2 d e f Interchange the 3rd and the 4th row. Theorem 2.2.3b
(g+2a) (h+2b) (1+2c)



a b c
= (-)(-)3x2 d e f
g h i

, = (-) (-) 3 x 2 x 8
-2 times the 1st row wad added to the 3rd row. Theorem 2.2.3c