Free Printable Practice on Matrix Algebra & Logic

1.

If , $p\rightarrow q\$ is False then the truth values of p and q are

a)

T,T

b)

T,F

c)

F,T

d)

F,F

2.

Examine $\left(p\wedge q\right)\wedge\left(\sim p\vee\sim q\right)$

a)

Tautology

b)

Contradiction

c)

Contingency

d)

None of these

3.

7 > 3 and 4 > 11 Negation of Statement is

a)

$7<3\ or\ 4<11$

b)

$7\le3\ and\ 4\le11$

c)

$7\le3\ or\ 4\le11$

d)

$7\ne3\ and\ 4\ne11$

4.

I will be alive if and only if I will be breathing (p $\leftrightarrow$ q)

This equivalence(if) statement will be false when....

Hint: Write a truth table to help you

a)

p: True , q: True

b)

p : False, q : False

c)

p : True , q : False

d)

p : False, q: True

5.

If the class wins the game, then the teacher will give bonus points

When will this implication become a false statement

a)

p: True , q: True

b)

p: True , q: False

c)

p : False, q : False

d)

p : False, q : True

6.

If i miss the bus, then I will walk to school

State the antecedent in this implication

a)

I miss the bus

b)

I will walk to school

c)

Ya'll get a tardy

d)

I dont walk to school

7.

Write down the implicative statement

p $\rightarrow$ q

p : There are eggs in the fridge

q: Nice will bake a cake

a)

There are eggs in the fridge if and only if Nice will bake a cake

b)

If there are no eggs in the fridge, then Nice will not bake a cake

c)

If Nice bakes an egg, then there is cake in the fridge

d)

If there are eggs in the fridge then Nice will bake a cake

8.

p: Cows have nine legs

q: Horses have 5 heads

Write down the equivalence of statement AND

a)

If cows have nine legs then horses have 5 heads

b)

Cows have nine legs if and only if Horses have 5 heads

c)

If cows have nine legs then horses have 5 heads

d)

Cows have nine legs if and only if Horses have 5 heads

9.

p: it is cold q: It is raining Find pv~q

a)

It is cold and not raining

b)

It is cold or not raining

c)

It is cold or raining

d)

It is not cold or raining

10.

x+y=10 is a proposition

a)

True

b)

False

11.

pv~p is

a)

Tautology

b)

contingency

c)

contradiction

12.

p: Ram is coward q: ram is lazy r: ram is rich Identify statement for "It is not true that ram is not rich"

a)

~pv~q

b)

~pv~r

c)

~(~r)

d)

~(~q)

13.

Truth values are placed in

a)

Table

b)

Column

c)

Truth table

d)

Row

14.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

15.

This symbol, ↔, means?

a)

and

b)

or

c)

if and only if

d)

implies

16.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

implies

17.

If the entire column on a truth table is all TRUE, the implication is said to be a...

a)

Logical impossibility

b)

Tautology

c)

Logical contradiction

d)

Logical equivalence

18.

If two columns on a truth table are identical, the implications are said to be...

a)

Logically impossible

b)

a tautology

c)

a logical contradiction

d)

logically equivalent

19.

What does this symbol mean? →

a)

If... then...

b)

and

c)

or

d)

one or the other, but not both

e)

If and only if... then...

20.

What is this?

a)

Conditional

b)

Inverse

c)

Converse

d)

Contrapositive

21.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

a)

If it is not wet, then it is not water.

b)

If it is wet, then it is water.

c)

It is water if and only if it is wet.

d)

There is no biconditional statement.

22.

What phrase does a biconditional statement use?

a)

if, then

b)

if, when

c)

if and only if

d)

then, if

23.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

24.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

25.

Find B - A

a)

-3 1

7 -1

b)

1 0

1 -4

c)

4 0

-6 1

d)

not possible because rows do not match columns

26.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

27.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

28.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

29.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions/size must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

30.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

31.

You can multiply a 2X3 matrix by which matrix below?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

32.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

33.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

34.

In Matrix R (pictured) what is the value of element R_3,2

a)

8

b)

9.01

c)

6

d)

1

35.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

36.

Multiply the following matrices

a)

b)

c)

d)

37.

Multiply the following matrices

a)

b)

c)

d)

38.

What are the dimensions of matrix D?

a)

3x4

b)

3x3

c)

4x3

d)

4x4

39.

Matrix C is a 2×3 matrix with $c_{12}=6$ . Which could be matrix C?

a)

b)

c)

d)

40.

Name the following matrix.

a)

Square Matrix

b)

Diagonal Matrix

c)

Identity Matrix

d)

Row Matrix

41.

a)

-5

b)

5

c)

0

d)

2

42.

Which sums can NOT be made from the following matrices ?

a)

A+A

b)

A+C

c)

B+D

d)

C+C

43.

a)

b)

c)

d)

44.

a)

b)

undefined/not possible

c)

d)

45.

The matrix A - B is

a)

b)

c)

d)

46.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

47.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

48.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

49.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

50.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

Practice on Matrix Algebra & Logic

Total questions: 50

Worksheet time: 50mins

Similar Resources on Wayground