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91Ó°ÊÓ

Write the system of equations corresponding to each augmented matrix. Then perform the indicated row operation(s) on the given augmented matrix.

1-3|-32-5|-4,R2=-2r1+r2

Short Answer

Expert verified

The resultant matrix is

1-3|-301|2

Step by step solution

01

Step 1. Given Information 

The given matrix and operation is

1-3|-32-5|-4,R2=-2r1+r2

02

Step 2. Explanation   

The given matrix has two rows. So, it represents a system of two linear equations. The 2 columns to the left of vertical bar indicate that the system has two variables.

Let the variables be x and y. Then system of linear equation corresponding to the given matrix is as follows,

x-3y=-3---(1)2x-5y=-4---(2)

Apply the given row operation on the given augmented matrix,

1-3|-32-5|-4→1-3|-301|2

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