An Ultimate Matrices MCQ Quiz

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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 47,731
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  • 1/30 Questions
    What is the determinant for the above matrix? - ProProfs

    What is the determinant for the above matrix?

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About This Quiz

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 matrixUse this information to answer the true/false statements.

An Ultimate Matrices MCQ Quiz - Quiz

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  • 2. 
    If we call the matrix above 'A', does the inverse of A exist? - ProProfs

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

    • Yes

    • No

    Correct Answer
    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).

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  • 3. 
    The determinant for the above matrix is zero. What is the value of x? - ProProfs

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

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

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  • 4. 

    AK is undefined, but KA is defined.

    • True

    • False

    Correct Answer
    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.

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  • 5. 
    What is the determinant for the above matrix? - ProProfs

    What is the determinant for the above matrix?

    Correct Answer
    3
    Explanation
    ad-bc

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  • 6. 
    What is the determinant for the above matrix? - ProProfs

    What is the determinant for the above matrix?

    Correct Answer
    -2
    Explanation
    ad-bc

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  • 7. 

    P is a row matrix.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    3x2 & 2x2 = will give a 3x2 not a 2x3

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  • 8. 
    I have a square matrix A with a determinant that is not zero.  - ProProfs

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

    • True

    • False

    Correct Answer
    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

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  • 9. 
    The determinant for the matrix above is 26. The missing number is a value between 0 and 5 inclusive. What is the missing value? - ProProfs

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

    Correct Answer
    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.

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  • 10. 

    Matrix A and Matrix D are equal matrices

    • True

    • False

    Correct Answer
    A. 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.

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  • 11. 

    AK is undefined, but KA is defined.

    • True

    • False

    Correct Answer
    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.

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  • 12. 
    If we call the matrix above 'A', does the inverse of A exist? - ProProfs

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

    • Yes

    • No

    Correct Answer
    A. 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).

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  • 13. 

    Q is a column matrix.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    3x2 & 2x2 = will give a 3x2 not a 2x3

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  • 14. 
    I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.  - ProProfs

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

    • True

    • False

    Correct Answer
    A. 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

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  • 15. 

    The product matrix of DA will be a 2x3 matrix

    • True

    • False

    Correct Answer
    A. False
    Explanation
    3x2 & 2x2 = will give a 3x2 not a 2x3

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  • 16. 
    I have a square matrix A with a determinant that is not zero. I is the identity matrix.  - ProProfs

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

    • True

    • False

    Correct Answer
    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:

  • 17. 
    I have a square matrix A with a determinant that is not zero. I is the identity matrix.  - ProProfs

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

    • True

    • False

    Correct Answer
    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:

  • 18. 
    The determinant for the above matrix is -15. What is the value of x? - ProProfs

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

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

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  • 19. 

    Matrix K has a determinant of 3.

    • True

    • False

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

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  • 20. 

    There are two matrices for which a determinant may be derived

    • True

    • False

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

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  • 21. 

    P is a row matrix.

    • True

    • False

    Correct Answer
    A. 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.

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  • 22. 
    What is the determinant for the above matrix? - ProProfs

    What is the determinant for the above matrix?

    Correct Answer
    3
    Explanation
    Only on Calculator - det(A)

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  • 23. 
    The element could be the value 5. - ProProfs

    The element could be the value 5.

    • True

    • False

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

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  • 24. 

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

    • True

    • False

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

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  • 25. 
    I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.  - ProProfs

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

    • True

    • False

    Correct Answer
    A. 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:

  • 26. 
    The determinant for the matrix above is 44. The missing number is a value between 1 and 5 inclusive. What is the missing value - ProProfs

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

    Correct Answer
    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.

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  • 27. 
    I have a square matrix A with a determinant that is not zero.  - ProProfs

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

    • True

    • False

    Correct Answer
    A. 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:

  • 28. 
    I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.  - ProProfs

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

    • True

    • False

    Correct Answer
    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:

  • 29. 
    The determinant for the above matrix is 15. What is the value of x? - ProProfs

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

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

    Rate this question:

  • 30. 

    Select all the statements which are true below

    • Only square matrices have an inverse

    • All square matrices have an inverse

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

    • Some Matrices with a negative determinant have no inverse

    • All Matrices with a determinant of zero have no inverse

    • All matrices with a determinant of zero are inconsistent

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

    Correct Answer(s)
    A. Only square matrices have an inverse
    A. All Matrices with a determinant that is not zero have an inverse
    A. All Matrices with a determinant of zero have no inverse
  • 31. 

    The order for seven matrices are 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 matrixUse this information to answer the true/false statements below. 

  • 32. 

    The order for seven matrices are 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 matrixUse this information to answer the true/false statements below. 

  • 33. 

    The order for seven matrices are 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 matrixUse this information to answer the true/false statements below. 

  • 34. 

    The order for seven matrices are 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 matrixUse this information to answer the true/false statements below. 

Quiz Review Timeline (Updated): Aug 23, 2023 +

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