QUESTION 3(2x1+4x2 = b1x1+ cX2 = b2%3DSuppose that the systemis consistent for all possible values of b, and ba. What can be said about the coefficient c?%3DOC=2O C 2O It can take only one value.O It cannot be determined.

Given: 2x1+4x2=b1x1+cx2=b2 Augmented matrix will be 241cb1b2 Row echelon form will be 241cb1b2Apply…

Answered: (2x1+4x2 b1 X1 + CX2 b2 Suppose that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Step 1+

Given:

$2 x_{1} + 4 x_{2} = b_{1} x_{1} + c x_{2} = b_{2}$

Augmented matrix will be

$[\begin{matrix} 2 & 4 \\ 1 & c \end{matrix} \begin{matrix} b_{1} \\ b_{2} \end{matrix}]$

Row echelon form will be

$[\begin{matrix} 2 & 4 \\ 1 & c \end{matrix} \begin{matrix} b_{1} \\ b_{2} \end{matrix}] A p p l y R_{1} \leftrightarrow R_{2} [\begin{matrix} 1 & c \\ 2 & 4 \end{matrix} \begin{matrix} b_{2} \\ b_{1} \end{matrix}] R_{2} \to R_{2} - 2 R_{1} [\begin{matrix} 1 & c \\ 0 & 4 - 2 c \end{matrix} \begin{matrix} b_{2} \\ b_{1} - 2 b_{2} \end{matrix}]$

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