Free Printable EDMATH-LONG QUIZ-NOVEMBER 4

1.

What is a Matrix?

a)

An equation of over 5 numbers or symbols

b)

A set of numbers in rows and columns

c)

A method of finding the n^th value of a series

d)

A complicated number system

2.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

3.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

4.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

5.

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

a)

8

b)

9.01

c)

6

d)

1

6.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

7.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

8.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

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

9.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

10.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

11.

Can the operation be performed?

a)

Yes

b)

No

c)

tomato

12.

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

13.

How would a scalar multiplication be carried out for a matrix?

a)

Add the Scalar to every element in the matrix

b)

Dot product the rows of one matrix with the columns of the other matrix

c)

Multiply every element with the scalar to create a new matrix

d)

subtract the elements in the first matrix from the elements of the second matrix

14.

Find the product of the two matrices.

a)

17 12
25 18

b)

8 9
12 6

c)

6 6
7 5

d)

12 10
10 12

15.

Which set of simultaneous equations is generated by the matrix equation above?

a)

b)

c)

d)

16.

Which of the following shows the system of linear equations in matrix form.

2w – 3x + 4z = –12

–3w + 6y – 9z = 7

–x + 4y – 5z = 2

w + 6x + 4y = –9

a)

b)

c)

d)

17.

Find the determinant of the following matrix.

a)

-7

b)

7

c)

-23

d)

23

18.

Solve the system of equations using Cramer's Rule.

a)

$\left(-3,-1\right)$

b)

$\left(-6,6\right)$

c)

$\left(5,-3\right)$

d)

$\left(2,-6\right)$

19.

Find the value of the determinant.

a)

-169

b)

19

c)

67

d)

-153

20.

Using determinants, find the area of the triangle with vertices (1, 0), (2, 2), and (4, 3).

(a)

21.

y = 3x - 1
2x + 2y = 22

a)

(2, 5)

b)

(3, 8)

c)

(4, 11)

d)

(5, 14)

22.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

23.

Find -2C + 5D

a)

b)

c)

d)

Does Not Exist

24.

When you multiply a matrix by the inverse matrix, you obtain the

a)

inverse matrix.

b)

transpose matrix.

c)

Identity matrix

d)

Identity matrix

25.

If the order of matrix A is m×p and the order of matrix B is p×n. Then the order of matrix AB is

a)

m × n

b)

n × m

c)

n × p

d)

m × p

26.

Two matrices A and B are multiplied to get AB if

a)

both are rectangular both have same order

b)

no of columns of A is equal to columns of B

c)

no of rows of A is equal to no of columns of B

d)

no of columns of A is equal to no of rows of B

27.

which of the following is correct

a)

determinants is a square matrix

b)

determinants is a number associated to a matrix

c)

determinants is a number associated to a square matrix

d)

none of these

28.

If A and B are invertible matrix then (AB)^-1 =

a)

A^-1B^-1

b)

AB

c)

B^-1A^-1

d)

none of these

29.

The inverse of the product of two matrices is the product oftheir inverses; that is

$\left(AB\right)^{-1}=A^{-1}B^{-1}$

a)

True

b)

False

30.

What is the inverse of this matrix?

a)

_{(1/25) (-4/25)}
_{(3/25) (13/25)}

b)

_{(1/5) (-4/5)}
_{(3/5) (13/5)}

c)

_{(6/25) (-2/25)}
_{(2/25) (9/25)}

d)

_{(1/150) (-4/150)}
_{(3/150) (13/150)}

31.

A rectangular array of numbers, in which not only the value of the number is important but also its position in the array.

(a)

32.

The numbers in the array are called (a) of the matrix.

33.

The size of the matrix is described by the number of its (a) .

34.

An $m\ x\ n$ matrix is a matrix which has $m$ rows

and $n$ (a) .

35.

The elements (or the entries) of a matrix are generally enclosed in brack-

ets, double-subscripting is used to index the elements. The First subscript

always denote the (a) position.

36.

When $m=n$ , the matrix is said to be a

(a)

37.

The main diagonal in a square matrix contains the elements (a)

38.

A matrix is said to be (a) if all its entries below the main

diagonal are 0.

39.

A matrix is said to be (a) if all its entries above the main

diagonal are 0.

40.

If all the entries of a square matrix are zero, except those entries on the

main diagonal, then we say the matrix is a (a) .

41.

An $n\ x\ n$ matrix having ones on the main

diagonal, and zeroes everywhere else. It is usually denoted $I_n$ .

(a)

42.

We say that two matrices are equal whenever they have the same (a) , and their corresponding entries are equal.

43.

A (a) is a vector which has only one row. In other words, it is an

$1\ x\ n$ matrix.

44.

A (a) is a vector which has only one column. In other words,

it is an $m\ x\ 1$ matrix.

45.

What is the size or dimension of the matrix?

a)

3 x 2

b)

2 x 3

c)

m x n

d)

3 columns by 2 rows

46.

Which of the following best describe the given matrix?

a)

3 x 2 matrix

b)

square (3 x 3) matrix

c)

square (3 x 2) matrix

d)

identity matrix

47.

Choose answers that describes the given matrix.

a)

3 x 3 matrix

b)

identity matrix

c)

square matrix

d)

3 x 3 upper and lower triangular matrix

48.

Choose answers that best describes the given matrix.

a)

4 x 4 matrix

b)

4 x 4 upper triangular matrix

c)

4 x 4 lower triangular matrix

d)

diagonal matrix

49.

Choose answers that best describes the given matrix.

a)

column vector

b)

row vector

c)

4 x 1 matrix

d)

1 x 4 matrix

50.

Choose answers that best describes the given matrix.

a)

row vector

b)

1 x 3 matrix

c)

3 x 1 matrix

d)

column vector

51.

Only matrices having the same size can be added or subtracted.

a)

True

b)

False

52.

Choose answers that completes the sentence. To add (subtract) two matrices having the same size,

a)

simply add (sub-

tract) the corresponding entries.

b)

In other words, if C = A + B, then

cij = aij + bij

c)

simply add (sub-

tract) the entries.

d)

In other words, if C = A + B, then

aij = bij + cij

53.

Subtract the given matrices. Choose the correct answers.

a)

Can not be done. The matrices do not have the

same dimension

b)

Only matrices having the same size can be added or subtracted.

c)

The result is a matrix of the same size.

54.

The figure shows multiplication of matrices. 4 is a 1 x 1 matrix also called (a) .

55.

What will be the result when we multiply a row vector by a column vector? Use the given figure.

a)

1 x 1 matrix

b)

scalar

c)

100

d)

This cannot be done , the vectors have the same

number of elements.

56.

Let us assume that A is m x p and B is q x n. The product of A and B, denoted AB can be performed only if p = q.

In other words, the number of columns of the first matrix, A must be the

same as the number of rows of the second matrix, B.

a)

True

b)

False

57.

What can we infer from the given figure/illustration?

a)

matrix multiplication will not be commutative

b)

matrix multiplication will always be commutative

c)

multiplying two 3 x 3 matrices will result to a 3 x 3 matrix

58.

What is the answer?

a)

identity matrix

b)

upper triangular matrix

c)

upper and lower triangular matrix

d)

square matrix

59.

If A is an m x n matrix, then the

transpose of A, denoted A^T is the n x m matrix obtained from A by interchanging the rows and columns of A.

a)

True

b)

False

60.

The following statements are correct EXCEPT

a)

If A is a square matrix (n x n) then the

trace of A, denoted tr (A), is defined to be the sum of its entries on the main

diagonal of A.

b)

tr (A) is not defined if A is not a square matrix.

c)

d)

If A is a square matrix (n x n) then the

trace of A, denoted tr (A), is defined to be the product of its entries opposite on the main

diagonal of A.

EDMATH-LONG QUIZ-NOVEMBER 4

Total questions: 60

Worksheet time: 3600secs

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