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Chapter 4: Q. 379 (page 482)

Write the system of equations that corresponds to the augmented matrix.

10-3-11-20-20-123

Short Answer

Expert verified

For the augmented matrix 10-3-11-20-20-123, the system of equations isx-3z=-1x-2y=-2-y+2z=3

Step by step solution

01

Step 1. Given Information

Consider the augmented matrix 10-3-11-20-20-123.

We need to find the corresponding system of equations.

02

Step 2. Form the system of equations

We remember that each row corresponds to an equation and that each entry is a coefficient of a variable or the constant. The vertical line replaces the equal sign. Since this matrix is a 4脳3, we know it will translate into a system of three equations with three variables. Thus the corresponding system of equations is

10-3-11-20-20-123鈫�1路x+0路y+(-3)路z=-11路x+(-2)路y+0路z=-20路x+(-1)路y+2路z=3鈫�x-3z=-1x-2y=-2-y+2z=3

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