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Chapter 4: Q. 199 (page 443)

Write each system of linear equations as an augmented matrix:

Part (a):2x-5y=-34x=3y-1

Part (b):4x+3y-2z=-3-2x+y-3z=4-x-4y+5z=-2

Short Answer

Expert verified

Part (a): The augmented matrix is 2-5-34-3-1.

Part (b): The augmented matrix is 43-2-3-21-34-1-45-2.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given system of equations,

2x-5y=-34x=3y-1

Here, the second equation is not in standard form.

Rewrite the second equation in standard form,

4x=3y-14x-3y=-1

02

Part (a) Step 2. Write in augmented matrix.

Write the standard form of the second equation,

2x-5y=-34x-3y=-1

Write the augmented matrix,

2-5-34-3-1

03

Part (b) Step 1. Given information.

Consider the given system of equations,

4x+3y-2z=-3-2x+y-3z=4-x-4y+5z=-2

Here all the equations are in the standard form.

Write the augmented matrix,

43-2-3-21-34-1-45-2

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