Matrix
Word problems
Fill in blank
solving equations by any method
multiple Choice
100

What is the dimension? [ 2  4  6]


1x3

100

A system of linear equations is called _________. When it has no solution.

a. Dependent 

b. Independent 

c. Inconsistent

d. Consistent

c.

200

What is the dimension? [ 3  7  ]

                                  [9     2]

                                  [4     7]


3x2

200

A solution is written as ( x,y,z) which is known as 

Ordered triple 

200

Which of the following is a key difference between ( REF) and (RREF)

a.) In REF, leading entries must be 1 but in RREF they can be any number of.

b.) In RREF, every column containing a lead 1 must have only zeros above And below it , this is not required in REF.

c.)In REF, rows of all zeros must be at the top but in RREF , they can be anywhere in the matrix.

d.) there is no difference 


b.)

300

Figure out which method to use and Solve for x and y in decimal form 

3x+2y=4

5x-2y=8

( 1.5, -0.25) 

500

What’s the augmented matrix.

-2x+z=-6 + 8y

7y-3z+8=5x

-4y+=9-7z

[-2 -8 1 | -6]

[-5 7 -3 | -8]

[0 -4 7  | 9]

500

AC invests 10,000 in equipment for his small business. Each unit costs $8 to produce and sells it for $15. Write and solve the system of equations to determine how many units must be sol to break even.solve by any method 

( 1428.57, 21428.57)