Suppose we solve the linear system Ax = 2.00 1.00 [ ] x = [ 1.99 1.00 Cz= 1.00 -1.00 Now suppose that the units for b1₁ are centimeters, while the units for b2 are meters. If we convert the problem to meters we obtain the linear system [ ]²=[ - 0.02 0.01 1.99 1.00 Z= ] 0.01 -1.00 = b. ] = d. Solve both systems in MATLAB using the backslash operator and explain why x is not exactly equal to z.

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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Suppose we solve the linear system
Ax =
2.00
1.00
[ ] x = [
1.99
1.00
Cz=
1.00
-1.00
Now suppose that the units for b1₁ are centimeters, while the units for b2 are meters. If we
convert the problem to meters we obtain the linear system
[ ]²=[ -
0.02 0.01
1.99 1.00
Z=
]
0.01
-1.00
= b.
]
= d.
Solve both systems in MATLAB using the backslash operator and explain why x is not
exactly equal to z.
Transcribed Image Text:Suppose we solve the linear system Ax = 2.00 1.00 [ ] x = [ 1.99 1.00 Cz= 1.00 -1.00 Now suppose that the units for b1₁ are centimeters, while the units for b2 are meters. If we convert the problem to meters we obtain the linear system [ ]²=[ - 0.02 0.01 1.99 1.00 Z= ] 0.01 -1.00 = b. ] = d. Solve both systems in MATLAB using the backslash operator and explain why x is not exactly equal to z.
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