Systems of Linear Equations and Matrices

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair

• Integer

• Ordered Triple

• Sum

What are the dimensions of this matrix?

• 2 x 3

• 3 x 2

• 6 x 1

• 1 x 6

Dimensions?

• a

• b

• c

• d

How many rows are in a 7 x 3 matrix?

• 7

• 3

• 21

• 10

What is the entry at r₃₁?

• 3

• 1

• 4

• 7

Determine whether the given matrix are identity matrix?

How confident do you feel solving linear systems in three variables?

• Very confident, and could help a friend.

• Fairly confident, but would like more practice

• Somewhat confident, but have some questions

• Not confident yet, and would like some help

Determine whether the given matrix are identity matrix?