Consider the following. x1 + x2 − 3x3 = 2 −x1 + 2x2 = −2 x1 − x2 + x3 = 9 (a) Write the system of linear equations as a matrix equation, AX = B. x1 x2 x3 = (b) Use Gauss-Jordan elimination on [A B] to solve for the matrix X. X = x1 x2 x3 =
Consider the following. x1 + x2 − 3x3 = 2 −x1 + 2x2 = −2 x1 − x2 + x3 = 9 (a) Write the system of linear equations as a matrix equation, AX = B. x1 x2 x3 = (b) Use Gauss-Jordan elimination on [A B] to solve for the matrix X. X = x1 x2 x3 =
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Consider the following.
| x1 | + | x2 | − | 3x3 | = | 2 |
| −x1 | + | 2x2 | = | −2 | ||
| x1 | − | x2 | + | x3 | = | 9 |
(a) Write the system of linear equations as a matrix equation,
=
(b) Use Gauss-Jordan elimination on
AX = B.
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x1 |
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| x2 | ||||
| x3 |
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(b) Use Gauss-Jordan elimination on
[A B]
to solve for the matrix X.X =
=
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x1 |
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| x2 | ||||
| x3 |
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