Matrix Row Operations Gaussian

Happy Friday!
1) Phones at charging station
2) IDs on around neck
3) Packets open to Page 21
4) Calculators out

Reminders
1) Upcoming Assessments
2) Re-Test #3

Let's look at Exit Ticket 4-3 on Pg. 21.

Draw

1) A system of equations is represented in matrix form below.

(See Page 21)

If Gauss-Jordan elimination is used to solve for x, y, and z, what is the final step in the row reduction?

Multiple Choice

What is the solution to the system of linear equations in three variables represented by the augmented matrix shown?

• 
  $$x\ =\ -\frac{17}{8};\ y\ =\ \frac{61}{8};\ z\ =\ \frac{7}{8}$$

• $$x\ =\ -2;\ y\ =\ 5;\ z\ =\ \frac{17}{4}$$

• $$x\ =\ \frac{11}{2};\ y\ =\ 5;\ z\ =\ \frac{7}{2}$$

• $$x\ =\ -18,\ y\ =\ 17,\ z\ =\ -\frac{17}{2}$$

Let's look at Warm-Up 4-4 on Pg. 225.

Multiple Choice

Write an augmented matrix to represent the system then solve using augmented matrices.

• (1, 1, 4)

• (-1, -1, 4)

• infinitely many solutions

• no solution

Multiple Choice

Write an augmented matrix to represent the system then solve using augmented matrices.

• (1, 1, 4)

• (-1, -1, 4)

• Infinitely Many Solutions

• No Solution

We will...formulate and solve systems of two or more linear inequalities in two variables.

Labelling

Take an educated guess and label the solution with the following vocabulary words:

Drag labels to their correct position on the image

critical point

feasible region

constraint

I will...determine possible solutions in the solution set of two or more linear inequalities in two variables.