100zisla89
Reagan Un
Linear Algebra
11
HW
.
i)
Ia
#2 :
ii)
42 - 1) + 3(2) =
-
4
+ 6
=
↓
2y + 32
3y
=z
2
8
=
X + 3y + 32 = 10
x + zy + 42 = 9
x+
1
+
↳
+
I
(I)
-
y=
zy
=
O
0
=
infinite solutiona
,
1
I
D
-
x+
2y + 3z
y=
x+
=
8
2
zy + 4z
=
X= 1 ,
<D
-
-4(
y= z
x +
X+
LDX =
2
I
#4/Exy2x
#6
1
-x =
-
9
I I-
C) +
z
=
y= 2 , z = 1
2(2) +3(1) = S
X= I
#8
X + 2y + 32
=
4x
+
5y + 62
7x
+
8y + 10
0
=
0
=
0
1
X+
-
4(1)
-
TCI)
-
-
2y + 32
3y 62
-
-
69
-
=
=
0
0
11z
=
/ bet
0
y
=
-
6(2z) 11z = 0
-
-D
122-11 = 0
2=
0
-
y
=
0
X =G
2=
0
-
2z
II+
# 10
X+
I
2y +3z )
=
z= 0
2= 0
,
y
=
5
,
x=
-
2=
↳
Dy
=
-
10
=
-
16
1
fa
-
+
.
O = 0 , infinite
5
solution
2)
I
#
I
↳
# 16
X+ 10
=
L 2(0)
9
# 12)
X+2(5) +3(0)
-
NI
of1
- no
=3 -x
y+
-
z =
0
solution , no single point line shard
by all 3 planes atthe
scre time
0 = 0 infinite solution, represent a flat plane and
-
,
all
& places
intersect
a
commonline
#10 IY I
-!
x+
Ty + 2a 2c
4) x +
y : 51 + b
X
10c + 2b
-
+
4)x =
I
-
10a
Ga
D
-
12a + 3a
-
2y
-
3y + 8(a c)
3y
8a
(dx+
↳
ii)
DX +
-
-
7(
-
2y
X+
3c
=
3c
-
=
C
+
-
-
↳
x+
=
9
3y = 8c +b -
a
2a
-
-
b
8c = b
2(5c b ba) + 3(a c)
+
=
=
9