The following system has an infinite number of solutions. Form an augmented matrix, then write the matrix in the reduced form. Write the reduced form of the matrix below and then write the solution in terms of z. The required augmented matrix is: 4x 8x 12x + 2y + 1z = 4 4y + 2z 1 2y + 3z = 5 - a11 a21 a31 a13 a 12 a22 a23 a32 a33 b₁ b2 = ხვა 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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what is b1?

The following system has an infinite number of solutions. Form an augmented matrix, then write the
matrix in the reduced form. Write the reduced form of the matrix below and then write the solution in
terms of z.
The required augmented matrix is:
4x
8x
12x
+
a11
C
a21
a31
2y + 1z = 4
4y + 2z
1
2y
+
3z = 5
a 12
a22
a32
a13
a23
a33
b₁
b2
=
ხვა
2
Transcribed Image Text:The following system has an infinite number of solutions. Form an augmented matrix, then write the matrix in the reduced form. Write the reduced form of the matrix below and then write the solution in terms of z. The required augmented matrix is: 4x 8x 12x + a11 C a21 a31 2y + 1z = 4 4y + 2z 1 2y + 3z = 5 a 12 a22 a32 a13 a23 a33 b₁ b2 = ხვა 2
where
a11 = 1
?
a21 = 0
7/8
a31 =
0
0
and x =
0.875
I
, a 12 =
,a22 =
, a32 =
0.5625 0.25z
0
1
0
, a 13 =
a23 =
, a 33 =
1/4
0
0
I
b₁ =
b₂ =
b3
=
|₁y =
Transcribed Image Text:where a11 = 1 ? a21 = 0 7/8 a31 = 0 0 and x = 0.875 I , a 12 = ,a22 = , a32 = 0.5625 0.25z 0 1 0 , a 13 = a23 = , a 33 = 1/4 0 0 I b₁ = b₂ = b3 = |₁y =
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