Writing System of Equations as a matrix

Writing System of Equations as a Matrix

Write down each slide as your notes and each example that follows.

Step 1: Make sure each equation is in the same order. **alpha order**

Example: Ax + By + Cz = D

Example 2:

Write this system in alpha order for all 3 equations.

Explanation on Example 2:

Write this system in alpha order for all 3 equations.

Multiple Select

Which of the following are in alpha order already?

Multiple Choice

To get the 3rd equation in the correct order. Which of the following has put the 3rd equation in the CORRECT order?

• CORRECT AS IS

• $9x-5y-6z=41$

• $9x+5y+6z=41$

• $9x-5y+6z=-41$

Multiple Choice

Based on this system, what is the correct alpha order this system should be in?

• $\left(x,y,z\right)$

• $\left(p,q,r\right)$

• $\left(r,p,q\right)$

• order does not matter

Step 2: Write the system of equations as a matrix.

Multiple Choice

Given this system, what numbers should go in the first ROW of this matrix?

Multiple Choice

Given this system, what numbers should go in the 2nd ROW of this matrix?

Multiple Choice

Given this system, what numbers should go in the 3rd ROW of this matrix?

Multiple Choice

Write the following system as a matrix.

• correct matrix is not shown

Moving from Matrix back to System of Equations

Multiple Choice

Which of the following systems is NOT correct for the given matrix?