Unit 1 Test Review

Matrix

100

Interpret this matrix: 

1  0  0    3

0  1  0   -2

0  0  1    0 

(3, -2, 0)

200

Interpret this matrix: 

1  0   0     6

0  1   1    -2

0  0   0     1

No sol

300

Interpret this matrix: 

1  0   1     -7/3

0  1   0    4

0  0   0     0

inf sol

400

Make this matrix:

x+2y+z=5

2x+y+z=4

x+z=3

500

Solve this matrix using your calc: 

x+2y+z=5

2x+y+z=4

x+z=3

(0, 1, 3)

Basic Matrix Operations

100

What are the dimensions of this matrix?

2  3

5  3

8  6

3 by 2

200

(whiteboard) 

3  -1

4   4

300

(whiteboard +) 

Not possible 

400

whiteboard (mult)

3  6

9  12

500

(whiteboard mult and subtr)

5  -4

3  -9 

Matrix Mult

100

Are we able to multiply the following matrices? 

No

200

Given the following matrices, when multiplied, what will the dimensions of the solution matrix be? 

2 by 3

300

(whiteboard 1x2)

23

400

(whiteboard 2x2) 

19  22

43  50

500

(whiteboard 2x3)

31  19

85  55

Domain and Range

100

When writing domain and range, we always write it as _______ to _______.

Least to greatest

200

Infinity and negative infinity are always surrounded with 

parenthesis 

300

What is the domain of the graph? 

(-3, 4]

400

What is the range of the graph?

(-1, 5]

500

DOUBLE JEOPARDY 

Domain and range of this graph? 

Domain: (- inf, inf)

Range: [1, inf)

Functions / Other

100

Is this a function? Why/ Why not?

{(1, 5), (2, 10), (3, 15)}

Yes, no x values repeat. 

200

Is this a function? Why/ why not? 

No, x values repeat

300

What is the difference in two:

Domain: -1 </ x </ 4

Domain: {-1, 0, 1, 2, 3, 4} 

First is continuous, 

second is discrete

400

solve using calc

x + y + z = 4

2x - y + z = 8 

x + 2y - z = -3

(2, -1, 3)

500

TRIPLE JEOPARDY

Solve the 3 variable system without using tech 

x + y + z = 6

2x - y + 3z = 9

-x + 2y +2z = 9 

(1, 2, 3)