Express the following system of equations in matrix form and solve it using. (elementary row operations) row reduction matrix method. T -3x + y + z = 11 -x+y=z= -11 -5x + y + z = 31

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Express the following system of equations in matrix form and solve it using
(elementary row operations) row-reduction matrix method. → 1
-3x + y + z = 1¶
-x+y=z= −1¶
-5x + y + z = 3¶
Transcribed Image Text:Express the following system of equations in matrix form and solve it using (elementary row operations) row-reduction matrix method. → 1 -3x + y + z = 1¶ -x+y=z= −1¶ -5x + y + z = 3¶
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Introduction:

Row operations and enhanced matrices When solving equations by elimination, the only thing that changes in the equations are the coefficient numbers, hence it is necessary to repeatedly write the variables x, y, and z together with the equals sign.

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