[17. Let A = 2L3solution.01411[b₁]3. Find the condition on entries of a vector b = b₂ so that the system Ax = b has a71

(.) Given system is where and .(.) Consider the system , then augmented matrix is given by…

Answered: [1 0 1 7. Let A = 2 L3 solution. 4 11…

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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Related questions

Question

[1
7. Let A = 2
L3
solution.
0
1
4
11
[b₁]
3. Find the condition on entries of a vector b = b₂ so that the system Ax = b has a
71

Expert Solution

Step 1: We give condition when the system has solution.

(.) Given system is $A x equals b$ where $A equals open square brackets table row 1 0 1 row 2 1 3 row 3 4 7 end table close square brackets$ and $b equals open square brackets table row cell b subscript 1 end cell row cell b subscript 2 end cell row cell b subscript 3 end cell end table close square brackets$ .

(.) Consider the system $A x equals b$ , then augmented matrix is given by $open square brackets A space space space b close square brackets$ .

=> the system has solution if and only if $r a n k open parentheses open square brackets A close square brackets close parentheses equals r a n k open parentheses open square brackets A space space b close square brackets close parentheses$ .