Solve the linear system [x, y, z] = [0, -2, [x, y, z] = 4 - − 12] + s[1, - 1, 2] [38, 0, −46] + t[3, 1, −5]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the linear system
- -
[x, y, z]= [0, −2, − 12] + s[1, − 1, 2]
[x, y, z] = [38, 0, −46] + t[3, 1, −5]
Transcribed Image Text:Solve the linear system - - [x, y, z]= [0, −2, − 12] + s[1, − 1, 2] [x, y, z] = [38, 0, −46] + t[3, 1, −5]
Expert Solution
Step 1: Solution

Given linear system:

open square brackets x comma space y comma space z close square brackets equals open square brackets 0 comma space minus 2 comma space minus 12 close square brackets plus s open square brackets 1 comma space minus 1 comma space 2 close square brackets
open square brackets x comma space y comma space z close square brackets equals open square brackets 38 comma space 0 comma space minus 46 close square brackets plus t open square brackets 3 comma space 1 comma space minus 5 close square brackets

We have to solve the given linear system.

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