Augmented Matrix

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Write the equation as an augmented matrix.

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Write the augmented matrix in row echelon form.

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Write the system of linear equations for the augmented matrix.

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What step should be next to put into Row Echelon form?

• Divide R3 by -6

• Mult. R1 by 0

• Mult. R2 by -3 and add to R1

• Add R3 to R2

Find row echelon form and solve.

• (52, 4, 36)

• (4, 1, 6)

• (-53, 4, -36)

• (1, 4, 6)

Find row echelon form and solve.

• (2,7,5)

• (-8,7,5)

• (-8,2,5)

• (-3,2,5)

• (2,3,5,0)

• (2,3,4,5)

• All Real Numbers

• No Solution

Jeffrey wrote a matrix to represent his system of equations. What was his mistake

• The z's are not aligned correctly

• There should be a one in the top row for zero

• There should be a zero in the second column of the third representing the y

• Nothing. This is correct.

What is the solution to the augmented matrix?

• (3,6,2)

• (3,-5,3)

• (5,5,3)

• ((5/9), (105/9), (-23/9))