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. læ 4y + 2x 8y + 1z 4 3x 4y + 5z The required augmented matrix is: a11 a12 a13 b1 a21 a22 a23 b2 a31 a32 a33 b3 where a11 = , 12 = a13 = ,b1 = a21 = , A22 = a23 = , b2 = a31 = , a32 = , A33 = b3 = and x = · y = + I|

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.1: Matrices And Systems Of Linear Equations
Problem 2E: Write the augmented matrix of the following system of equations. System {x+yz=1x+2z=32yz=3 Augmented...
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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.
1x
+
4у +
4z
3
2x
8y +
1z
4
3x
4y +
5z
The required augmented matrix is:
a13 |b,
b2
a11
a12
a21
a22
a23
a31
a32
a33
b3
where
a11 =
a12 =
, a13 =
, bị =
A21 =
, A22 =
, A23 =
, b, =
a31 =
, a32 =
, A33 =
, bz =
and x =
|| || ||
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. 1x + 4у + 4z 3 2x 8y + 1z 4 3x 4y + 5z The required augmented matrix is: a13 |b, b2 a11 a12 a21 a22 a23 a31 a32 a33 b3 where a11 = a12 = , a13 = , bị = A21 = , A22 = , A23 = , b, = a31 = , a32 = , A33 = , bz = and x = || || ||
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