Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 + x4 = 0 as Ax = b, where x = is the vector of variables. Then, find the system solution as: x = A-b, and write the value of x2. (Hint: Use the Gauss-Jordan algorithm to find the inverse A- of the matrix A first). [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.) II Il ||||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Using the matrix notation, write the system of linear equations:
2x1 - X4
= -1
= 1
= 1
5x1 + x2
X3
-x1 + 4x3 + x4
X1
x2
is the vector of variables. Then, find the system solution as: x = A-'b, and write the value of x2. (Hint: Use
X3
as Ax = b, where x =
the Gauss-Jordan algorithm to find the inverse A- of the matrix A first).
[Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct
answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.]
Answer:
I| || || |
Transcribed Image Text:Using the matrix notation, write the system of linear equations: 2x1 - X4 = -1 = 1 = 1 5x1 + x2 X3 -x1 + 4x3 + x4 X1 x2 is the vector of variables. Then, find the system solution as: x = A-'b, and write the value of x2. (Hint: Use X3 as Ax = b, where x = the Gauss-Jordan algorithm to find the inverse A- of the matrix A first). [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer: I| || || |
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