Echelon form- Matrix

If an elementary row operation is applied to a matrix that is in row echelon form, the resulting matrix will still be in row echelon form.

• True

• False

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• A Canine Doing a Backflip

Tags

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

This is an example of

• Row Echelon Form

• Reduced Row Echelon Form

• Really Reduced Echelon Form

• Really Really Easy Form

Tags

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.6

Johnny was using Gaussian Elimination to simplify the matrix. What did he do wrong in this step?

• To get a zero for a number you should multiply the same row by its' reciprocal

• If you multiply a number to a row you have to change that row too

• He added the numbers incorrectly

• Nothing. This step was correct.

Tags

CCSS.HSA.REI.C.8

Jessica is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?

• No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1

• No, she wanted to change the 3 to a zero so she should have multiplied R2 and added it to R3

• Yes. When you need a zero you multiply by the number's reciprocal.

• No. Just punch in the calculator. Who cares about Carl Gauss

Tags

CCSS.HSA.REI.C.8

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.

Tags

CCSS.HSA.REI.C.8

The rank of the above (n+1) $\times$   (n+1) matrix where ‘a’ is real number is      

• 1

• 2

• n

• depends on a

Tags

CCSS.HSA.REI.C.8

What is the inverse of the 2x2 matrix?

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• 
• 
• 

Tags

CCSS.HSA.REI.C.9