Write the system of equations corresponding to the given aug

Write the system of equations corresponding to the given augmented matrix using the variables x and y. Then perform the row operation R_2 = 8r_1 + r_2 on the given augmented matrix. [1 - 8 3 - 9| - 2 4] Which of the following is the system of equations corresponding to the augmented matrix? Perform the row operation. What is the resultant matrix?

Solution

the system of equations are

x +3y =-2

-8x-9y =4

so it is optionB)

we are not changing the row 1 so row1 elements will be same

R2 = 8r1 +r2

the first element in row2 = 8.1 -8 =0

second element in row2 = 8.3 -9 =15

the last element in row2 =8.-2 +4 =-12

so After operation

[ 1 3 | -2 ]

[ 0 15 | -12 ]