Exam (elaborations) MAT1503_ASSIGNMENT_TWO Course: MAT1503 Assignment: 837806

Course: MAT1503
Assignment: 837806




Question 1

a b c
| |
d e f
g h i
= -4


a b c
| |
d e f
g h i
= -4




( g+ 2 a) (h+ 2b) (i+2 c)

| |



m
er as
3a 3b 3c =4
2d 2e 2f




co
eH w
o.
rs e
( g+ 2 a) (h+ 2b) (i+2 c)
ou urc
| 3a
2d
3b
2e
3c
2f
| =3x4
o
aC s
v i y re



( g+ 2 a) (h+ 2b) (i+2 c)

| 3a
2d
3b
2e
3c
2f
| = 12
ed d
ar stu




( g+ 2 a) (h+ 2b) (i+2 c)

| |
sh is




3a 3b 3c = 2 x 12
Th




2d 2e 2f




( g+ 2 a) (h+ 2b) (i+2 c)

| 3a
2d
3b
2e
3c
2f | = 24




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, Course: MAT1503
Assignment: 837806




Question 2



Let A and B be n x n matrices and A is invertible

det ( A−1 B ) =det ( A−1 ) ×det ⁡( B)

1
det ( A−1 B ) = × det ⁡( B)
det ⁡( A)




m
er as
detB
det ( A−1 B ) =




co
detA



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o.
rs e
ou urc
Question 3
o
aC s


A is a3 × 3¿
v i y re



det ( A−1 B ) =det ( A−1 ) ×det ⁡( B)

1
ed d




det ( A )=
64
ar stu




det ( A−1 )=64
sh is




det ( 4 A−1 )=43 ×64
Th




det ( 4 A−1 )=64 × 64

det ( 4 A−1 )=4096



Question 4


det ( A )=4



This study source was downloaded by 100000826709397 from CourseHero.com on 06-22-2021 09:19:01 GMT -05:00


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