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Solve the following system of linear equations: −p + q + 2r = 8 (1) p...

Solve the following system of linear equations:

−p + q + 2r = 8 (1)

p + q + 2r = 0 (2)

2q − 2r = 2 (3).

The sum of the values of p, q and r of the solution is

Solutions

Expert Solution

  1. The solution uses the basic knowledge of solving a non homogeneous system of equations, how to find rank of a matrix, what is an augmented matrix, How to apply row operations to reduce any matrix to an upper triangular matrix.
  3. back substitution means starting from last equation and finding the variable's value then using that variable's value in 2nd equation and then solving the first equation for the first variable.

Colby Messinger answered 1 year ago
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