Transcription of Using Augmented Matrices to Solve Systems of Linear …
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Using Augmented Matrices to Solve Systems of Linear …
Augmented Matrices - page 1 Using Augmented Matrices to Solve Systems of Linear Row OperationsTo Solve the Linear system algebraically, these steps could be + = = + = All of the following operations yield a system which is equivalent to the original. (Equivalent Systems have the same solution.) Interchange equations 2 and 3x5yz112x4y2z83z12+ = + = = Multiply equation 3 by 13x5yz112x4y2z8z1+ = + = = Multiply equation 2 by 12 x5yz11x2yz4z1+ = += = Add equation 1 to 2 and replace x5yz113y15z4+ = = = equation 2 with the result Multiply equation 2 by 13x5yz11y5z4+ = = = Multiply equation 2 by and add it 5 xz14y5z4 = = = to equation 1; replace equation 1 with the resultAdd equation 3 to equation 1; replace x18y5z4= = = equation 1 with the resultThe so
Augmented Matrices - page 1 Using Augmented Matrices to Solve Systems of Linear Equations 1. Elementary Row Operations To solve the linear system algebraically, these steps could be used.
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