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 + - - a11 E a21 a31 4y + 2z = 2y + 3z a 12 1z = 4 1 5 a22 a32 = a 13 b₁ a23 b2 a33 ხვა

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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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 =
a21 =
a31 =
and x =
⠀
I
, a 12 =
I
a22
||
=
, a32 =
,a13 =
I
a23
||
=
a33 =
b₁ =
=
, b₂ =
b3 =
=
, y =
Transcribed Image Text:where a11 = a21 = a31 = and x = ⠀ I , a 12 = I a22 || = , a32 = ,a13 = I a23 || = a33 = b₁ = = , b₂ = b3 = = , y =
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all is correct except step one... a11= 1 is correct, a12 = 1/2 is inccorect (a12=0 is correct) a13=1/4 is correct and b1 = 1 is incorrect. what does b1 equal?

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