Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve the following linear systems. Do not reorder the equations. (The exact solution to each system is

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve
the following linear systems. Do not reorder the equations. (The exact solution to each system is
X1 = -1,x2 = 1, x3 = 3.)
-xI + 4x2 + xz = 8,
n + x2 + x = 1,
a.
b.
4x1 + 2x - x = -5,
a + - = -1,
2x + x + 4x = 11.
X + 4x2 + 2r3 = 9.
Transcribed Image Text:Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve the following linear systems. Do not reorder the equations. (The exact solution to each system is X1 = -1,x2 = 1, x3 = 3.) -xI + 4x2 + xz = 8, n + x2 + x = 1, a. b. 4x1 + 2x - x = -5, a + - = -1, 2x + x + 4x = 11. X + 4x2 + 2r3 = 9.
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