Augmented Matrix

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• A Canine Doing a Backflip

What is the solution to the 4x5 Matrix?

• ( 3, 4, 9, 6 )

• ( 3, 4, 9, -6 )

• ( -6, 9, 4, 3 )

• ( 6, 9, 4, 3 )

Back-substitute to calculate the solution from the REF Matrix.

• 2, 4, (1/2)

• (-1/5), 4, (1/2)

• (1/2), 2, 1

• (1/5) , 4, (1/2)

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.

A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix

• constant matrix

• linear matrix

• coefficient matrix

Write the augmented matrix of the system

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State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3

Solve the linear systems together by using the values of b for two separate systems, then reducing an appropriate augmented matrix to reduced row echelon form. Write your answer as i(b1, b2), ii(b1, b2), iii(b1, b2), iv(b1, b2) form.

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State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3

Write the augmented matrix of the system

• 
• 
• 
•