Question

$\begin{bmatrix} 1 & 2 & 0 & 0 & 0 \\ 1 & 1 & -1 & 0 & -1 \\ 0 & 1 & -1 & 0 & -1 \\ 0 & -1 & 0 & 1 & 1 \\ 0 & 1 & 1 & -1 & 1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \\ x_4 \\ x_5 \end{bmatrix} = \begin{bmatrix} 100 \\ 0 \\ -50 \\ 120 \\ 0 \end{bmatrix}$

          $\begin{bmatrix} 1 & 2 & 0 & 0 & 0 \\ 1 & 1 & -1 & 0 & -1 \\ 0 & 1 & -1 & 0 & -1 \\ 0 & -1 & 0 & 1 & 1 \\ 0 & 1 & 1 & -1 & 1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \\ x_4 \\ x_5 \end{bmatrix} = \begin{bmatrix} 100 \\ 0 \\ -50 \\ 120 \\ 0 \end{bmatrix}$

< b m a t r i x >

< b m a t r i x >
=
< b m a t r i x >

Added by Wendy A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert James Kiss

07/21/2021

Step 1

Step 1: The given matrix equation is A*x=b, where A is the coefficient matrix, x is the vector of variables, and b is the constant vector. Show more…

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Thanks for your feedback!

write out the reduce matrix A=[[1,2,0,0,0],[1,1,-1,0,-1],[0,1,-1,0,-1],[0,-1,0,1,1],[0,1,1,-1,1]][[x_(1)],[x_(2)],[x_(3)],[x_(4)],[x_(5)]]=[[100],[0],[-50],[120],[0]] 1 2 0 0 0 - 1 0 1 A= - 1 0 1 1 0 - 0 - - 1 100 x2 X3 50 120 0 X4