2) Find what conditions must be placed on b, b, and b¸ in order for the 1' 2' following linear system to be consistent: x + 4y + 4z=b₁ 1 x-2y=z=b₂ 3x+6y+7z=b3
2) Find what conditions must be placed on b, b, and b¸ in order for the 1' 2' following linear system to be consistent: x + 4y + 4z=b₁ 1 x-2y=z=b₂ 3x+6y+7z=b3
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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Question
![2) Find what conditions must be placed on \( b_1, b_2, \) and \( b_3 \) in order for the following linear system to be consistent:
\[
\begin{align*}
x + 4y + 4z &= b_1 \\
x - 2y - z &= b_2 \\
3x + 6y + 7z &= b_3
\end{align*}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31367789-01e4-4129-b30b-49084de51bdb%2F1605f030-e17b-4041-b1fe-3adbe19d88b8%2Fom3f4kp_processed.png&w=3840&q=75)
Transcribed Image Text:2) Find what conditions must be placed on \( b_1, b_2, \) and \( b_3 \) in order for the following linear system to be consistent:
\[
\begin{align*}
x + 4y + 4z &= b_1 \\
x - 2y - z &= b_2 \\
3x + 6y + 7z &= b_3
\end{align*}
\]
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