Test Review for Matrix

• (3, 9 -1)

• (0, 3, 7)

• All Real Numbers

• No Solution

Jillian solved the matrix on the left. Jacob solved the matrix on the right. Who is correct?

• Jillian, because she multiplied by the reciprocal.

• Jacob, because he got the top left number to be a one.

• Neither. They needed to take care of the one and make it a zero first.

• Both. Each step is legal and takes care of the top left term

Jemima is in the process of reducing her matrix. Her next step is shown here. What was her mistake?

• She should have multiplied the 3 by its' reciprocal

• She has the bottom row already solved for

• She multiplied her top row correctly, but that doesn't change the first row when we add it to another row

• Nothing. She performed her step correctly.

This is an example of

• Row Echelon Form

• Reduced Row Echelon Form

• Really Reduced Echelon Form

• Really Really Easy Form

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

What is the solution to the 4x5 Matrix?

• ( 3, 4, 9, 6 )

• ( 3, 4, 9, -6 )

• ( -6, 9, 4, 3 )

• ( 6, 9, 4, 3 )

What is the solution to the systems of equations represented by the 3x4 Matrix?

• (4, 6, 2)

• (-6, 2, 2)

• All Real Numbers

• No Solutions

• (2,3,5,0)

• (2,3,4,5)

• All Real Numbers

• No Solution

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

• (3, -6, 3)

• (-6, -6, 3)

• (6, -6, 3)

• (-6, -6, 3)

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.