Matrix Row Reduction

Reduced Row Echelon Form is where ______________________

• Zeroes in the first column of my matrix

• Thel ast column has all zeroes

• One's are in a diagonal pattern of my matrix with zeroes underneath the one's.before the augmented portion

• One's are in a diagonal pattern of my matrix with zeroes above and below the ones before the augmented portion

This is an example of

• Row Echelon Form

• Reduced Row Echelon Form

• Really Reduced Echelon Form

• Really Really Easy Form

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• A Canine Doing a Backflip

Using back-substitution, calculate the solution for the REF matrix.

• (3, -6, 3)

• (-6, -6, 3)

• (6, -6, 3)

• (-6, -6, 3)

What is the value of z?

• 6

• -6

• -36

• 4

What is an appropriate first row command to solve this by Gaussian Elimination?

• 2R2 + R2 -> R2

• -2R1 + R2 -> R2

• R3 +R2 --> R3

• 2R1 + R2 --> R2

Which row command is an appropriate next step?

• 7R2 + R3 -> R3

• -7R1 + R3 -> R3

• 7R3 -> R3

• -7R2 + R3 -> R3

Solve!

• (1,1,1)
• (7, 4, -36)
• (1,4,6)
• (7,4,6)