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Solve the system of equations using matrices (row operations).If the system has no solution,say that it is inconsistent.

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Solve the system of equations using matrices (row operations).If the system has no solution,say that it is inconsistent.

asked Feb 11, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The system of equations is image.

Definition of augment matrix :

If  are the system of equations then the augmented matrix is .

Augment matrix of the system of equations is

image

Apply image.

image

Step 2:

Number of variables image.

Rank of the Matrix is 1.

Rank of the augmented matrix is 1.

Rank of = Rank of < image, the system has infinitely many solutions.

Solutions of system of equations are

image

Where is any real number.

The solutions of system of equations are image.

Solution:

Infinitely many solutions.

The solutions of system of equations are image.

answered Feb 16, 2015 by joseph Apprentice

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