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: where a11 = 1 a21 = a31 = 0 0 and x = 1 1 , a12 = 0 , a22 = , a32 = 1 0 1x 2x 3x , a 13 = ,a23 = , Q33 = +11 7/4 ly + 3z 2y + 1z ly + 5/4 0 a11 a12 a13 b1 a21 a22 a23 b2 a31 a32 a33 b3 b₁ = , b2 = b3 = " 2 = || || || 4z = = , y = 5/2 1/2 0 " 3 4 7
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: where a11 = 1 a21 = a31 = 0 0 and x = 1 1 , a12 = 0 , a22 = , a32 = 1 0 1x 2x 3x , a 13 = ,a23 = , Q33 = +11 7/4 ly + 3z 2y + 1z ly + 5/4 0 a11 a12 a13 b1 a21 a22 a23 b2 a31 a32 a33 b3 b₁ = , b2 = b3 = " 2 = || || || 4z = = , y = 5/2 1/2 0 " 3 4 7
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 67E
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