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Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 39PS
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Consider the following system of linear equations. 4x- 12y = -12 8x - 19y = -4 Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, denote the first and second rows, respectively. The arrow notation (+) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed. (a) For each step below, enter the coefficient for the row operation. The first matrix in Step 1 is the augmented matrix for the given system of equations. Step 1: 4 -12 - 12 1 -3 8 - 19 i -4 8 - 19 -4 Step 2: -3 1 -3 -3 8 - 19 -4 5 20 Step 3: I-R, - R, 1 -3 1 -3 -3 5 i 20 1 4 Step 4: Enter the coefficient for the row operations and the missing entries in the resulting matrix. D-R, + R, • R, 1 -3 1 0 1 4 (b) Give the solution. y = 0 X = O O
Transcribed Image Text:Consider the following system of linear equations. 4x- 12y = -12 8x - 19y = -4 Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, denote the first and second rows, respectively. The arrow notation (+) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed. (a) For each step below, enter the coefficient for the row operation. The first matrix in Step 1 is the augmented matrix for the given system of equations. Step 1: 4 -12 - 12 1 -3 8 - 19 i -4 8 - 19 -4 Step 2: -3 1 -3 -3 8 - 19 -4 5 20 Step 3: I-R, - R, 1 -3 1 -3 -3 5 i 20 1 4 Step 4: Enter the coefficient for the row operations and the missing entries in the resulting matrix. D-R, + R, • R, 1 -3 1 0 1 4 (b) Give the solution. y = 0 X = O O
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