# An Ultimate Matrices MCQ Quiz

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Anthony Nunan
A
Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 45,029
Questions: 30 | Attempts: 2,346

Settings

Do you have any idea what is matrices in mathematics? Do you think you can pass this matrices quiz? A matrix is basically a rectangular collection or table of numbers, symbols, or expressions that are arranged in rows and columns in mathematics. Take this quiz and learn more about matrices in math. The order for seven matrices is described below. A is a 2x2 matrix. D is a 3x2 matrix. K is a 5x2 matrix. L is a 4x3 matrix. M is a 5x5 matrix. P is a 4x1 matrix. Q is a 1x5 Read morematrixUse this information to answer the true/false statements.

• 1.

### What is the determinant for the above matrix?

Explanation

Rate this question:

• 2.

### What is the determinant for the above matrix?

Explanation

Rate this question:

• 3.

• 4.

### I have a square matrix A with a determinant that is not zero.

• A.

True

• B.

False

B. False
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 5.

### What is the determinant for the above matrix?

3
Explanation
Only on Calculator - det(A)

Rate this question:

• 6.

### I have a square matrix A with a determinant that is not zero.

• A.

True

• B.

False

A. True
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 7.

### I have a square matrix A with a determinant that is not zero. I is the identity matrix.

• A.

True

• B.

False

A. True
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 8.

### I have a square matrix A with a determinant that is not zero. I is the identity matrix.

• A.

True

• B.

False

A. True
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 9.

### I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.

• A.

True

• B.

False

B. False
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 10.

### I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.

• A.

True

• B.

False

B. False
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 11.

### The determinant for the above matrix is zero. What is the value of x?

0
Explanation
ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

Rate this question:

• 12.

### I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.

• A.

True

• B.

False

A. True
Explanation
A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Rate this question:

• 13.

### If we call the matrix above 'A', does the inverse of A exist?

• A.

Yes

• B.

No

B. No
Explanation
An inverse exists only for square matrices with a determinant that is not zero. If the determinant is zero, there is no inverse. If the matrix represents a pair of simultaneous equations, it means they are either inconsistent (parallel) or dependent (the same equation).

Rate this question:

• 14.

### The determinant for the above matrix is 15. What is the value of x?

-1
Explanation
ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

Rate this question:

• 15.

• 16.

• 17.

• 18.

### The determinant for the above matrix is -15. What is the value of x?

2
Explanation
ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

Rate this question:

• 19.

### If we call the matrix above 'A', does the inverse of A exist?

• A.

Yes

• B.

No

A. Yes
Explanation
An inverse exists only for square matrices with a determinant that is not zero. If the determinant is zero, there is no inverse. If the matrix represents a pair of simultaneous equations, it means they are either inconsistent (parallel) or dependent (the same equation).

Rate this question:

• 20.

### Select all the statements which are true below

• A.

Only square matrices have an inverse

• B.

All square matrices have an inverse

• C.

All Matrices with a determinant that is not zero have an inverse

• D.

Some Matrices with a negative determinant have no inverse

• E.

All Matrices with a determinant of zero have no inverse

• F.

All matrices with a determinant of zero are inconsistent

• G.

All Matrices with a determinant of zero have an infinite number of solutions

A. Only square matrices have an inverse
C. All Matrices with a determinant that is not zero have an inverse
E. All Matrices with a determinant of zero have no inverse
• 21.

### Matrix A and Matrix D are equal matrices

• A.

True

• B.

False

B. False
Explanation
The statement "Matrix A and Matrix D are equal matrices" is false. This means that Matrix A and Matrix D are not equal to each other. They may have different dimensions, different elements, or both.

Rate this question:

• 22.

### The determinant for the matrix above is 44. The missing number is a value between 1 and 5 inclusive. What is the missing value

5
Explanation
Trial and error. You don't know how to find the determinant manually, so you simply create the matrix, then substitute 1, 2, 3, 4 and 5 into the missing space. Using the det() command is the fastest way to do it. It's faster than the Inverse App if you simply put your matrix inside the brackets.

Rate this question:

• 23.

### P is a row matrix.

• A.

True

• B.

False

B. False
Explanation
The given statement is "P is a row matrix." The correct answer is False. This means that P is not a row matrix. A row matrix is a matrix with only one row. Since the statement says that P is a row matrix, but the correct answer is False, it implies that P is not a row matrix, meaning it has more than one row.

Rate this question:

• 24.

### AK is undefined, but KA is defined.

• A.

True

• B.

False

A. True
Explanation
This statement implies that there is a difference in the definitions of AK and KA. While KA is defined, meaning there is a clear understanding or explanation for it, AK is undefined, suggesting that there is no known definition or explanation for it. Therefore, the statement is true, as it confirms that KA is defined while AK is not.

Rate this question:

• 25.

### The determinant for the matrix above is 26. The missing number is a value between 0 and 5 inclusive. What is the missing value?

2
Explanation
Trial and error.
You can use algebra to solve this but its faster to use the det() command and just substitute the one missing value in each time. It's faster than the Inverse App if you simply put your matrix inside the brackets.

Rate this question:

• 26.

### AK is undefined, but KA is defined.

• A.

True

• B.

False

A. True
Explanation
The statement suggests that the value of AK is undefined, meaning it does not have a specific value assigned to it. On the other hand, KA is defined, indicating that it has a specific value assigned. Therefore, the statement is true because it states a valid comparison between the undefined value of AK and the defined value of KA.

Rate this question:

• 27.

### Matrix K has a determinant of 3.

• A.

True

• B.

False

B. False
Explanation
Only a square matrix can have an inverse, and therefore on square matrices have a determinant.

Rate this question:

• 28.

### The product matrix of DA will be a 2x3 matrix

• A.

True

• B.

False

B. False
Explanation
3x2 & 2x2 = will give a 3x2 not a 2x3

Rate this question:

• 29.

### The element could be the value 5.

• A.

True

• B.

False

B. False
Explanation
D is a 3x2 matrix, which would have no value d2,3 as there are not 3 columns.

Rate this question:

• 30.

### There are two matrices for which a determinant may be derived

• A.

True

• B.

False

A. True
Explanation
3x2 & 2x2 = will give a 3x2 not a 2x3

Rate this question:

• 31.

### The matrix multiplication of QK would deliver a product matrix with the order 1x2

• A.

True

• B.

False

A. True
Explanation
3x2 & 2x2 = will give a 3x2 not a 2x3

Rate this question:

• 32.

### P is a row matrix.

• A.

True

• B.

False

B. False
Explanation
3x2 & 2x2 = will give a 3x2 not a 2x3

Rate this question:

• 33.

### Q is a column matrix.

• A.

True

• B.

False

B. False
Explanation
3x2 & 2x2 = will give a 3x2 not a 2x3

Rate this question:

• 34.

### What is the determinant for the above matrix?

-2
Explanation

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Aug 23, 2023
Quiz Edited by
ProProfs Editorial Team
• Sep 02, 2014
Quiz Created by
Anthony Nunan

Related Topics