Consider the following linear system shown below. Note that s is a parameter and r1 and =, are the variables of this system. 6sx1 + 4x2 = 5 9x1 + 2sx2 = -2 a. Rewrite the linear system as Ax = b, then compute det(A) using any technique. Hint: the matrix A should have the parameter s in it. b. Using your answer in part a, determine what value(s) of s are needed so that the linear system has a unique solution. Hint: recall that Ax = b has a unique solution if A-1 erists, and this only happens when det(A) 0. c. Using the vector b you found in part a, compute det A, (b) and det A,(b) using any technique.
Consider the following linear system shown below. Note that s is a parameter and r1 and =, are the variables of this system. 6sx1 + 4x2 = 5 9x1 + 2sx2 = -2 a. Rewrite the linear system as Ax = b, then compute det(A) using any technique. Hint: the matrix A should have the parameter s in it. b. Using your answer in part a, determine what value(s) of s are needed so that the linear system has a unique solution. Hint: recall that Ax = b has a unique solution if A-1 erists, and this only happens when det(A) 0. c. Using the vector b you found in part a, compute det A, (b) and det A,(b) using any technique.
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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Kindly solve all the parts correctly
Transcribed Image Text:Consider the following linear system shown below. Note that s is a parameter and ri and
x2 are the variables of this system.
6sx1 + 4x2 = 5
9x1 + 2sx, = -2
a. Rewrite the linear system as Ax = b, then compute det(A) using any technique. Hint: the matrix
A should have the parameter s in it.
b. Using your answer in part a, determine what value(s) of s are needed so that the linear system
has a unique solution. Hint: recall that Ax = b has a unique solution if A-1 exists, and this only
happens when det(A) # 0.
c. Using the vector b you found in part a, compute det A1 (b) and det A2(b) using any technique.
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