Matrices Self Study Quiz

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Proprofsquizscho
P
Proprofsquizscho
Community Contributor
Quizzes Created: 1 | Total Attempts: 2,505
| Attempts: 2,505
SettingsSettings
Please wait...
  • 1/9 Questions

          (9  0  1  3  4)           (0  7  3  0)A = (5  7  8  2  4)           (1  3  6  2)      (3  4  2  7  0)     B = (7  8  9  2)                                    (7  4  3  8)                                    (8  3  2  5)Which of the following is possible?

    • A + B
    • A - B
    • A x B
    • A / B
Please wait...
About This Quiz

Quiz on the Self Study topic of Matrices done by Ong Tiet Ho, Hwa Chong Institution, 3S422 as Part III of the June Self Study Modules. Topics tested include the basics of matrices, addition, subtraction and multiplication of matrices.

Matrices Self Study Quiz - Quiz

Quiz Preview

  • 2. 

    Which of the following is not a square matrix?

    • (1)

    • (5 8) (9 2)

    • (4 9) (16 25) (36 49)

    • (2 8 7 6 9) (8 7 6 0 3) (7 6 8 3 4) (1 4 7 2 6) (7 8 2 3 0)

    Correct Answer
    A. (4 9) (16 25) (36 49)
    Explanation
    The given answer is not a square matrix because it has 3 rows and 2 columns, which means it does not have an equal number of rows and columns. A square matrix is defined as a matrix where the number of rows is equal to the number of columns.

    Rate this question:

  • 3. 

    Which of the following is impossible?

    • Scalar Multiplication

    • Matrix Multiplication

    • Scalar Division

    • Matrix Division

    Correct Answer
    A. Matrix Division
    Explanation
    Matrix division is not a defined operation in linear algebra. While scalar multiplication, matrix multiplication, and scalar division are all valid operations, matrix division is not. In order to divide matrices, we can multiply the first matrix by the inverse of the second matrix. However, not all matrices have inverses, so matrix division is not always possible.

    Rate this question:

  • 4. 

    Which of the following matrix operations is commutative?

    • Addition of Matrices

    • Subtraction of Matrices

    • Multiplication of Matrices

    • Division of Matrices

    Correct Answer
    A. Addition of Matrices
    Explanation
    The addition of matrices is commutative because the order in which the matrices are added does not affect the result. This means that if we have two matrices A and B, A + B will give the same result as B + A. In other words, the addition operation is independent of the order of the matrices, making it commutative.

    Rate this question:

  • 5. 

    What is an identity matrix and why is it called an identity matrix?

    • An identity matrix is a matrix with all diagonal entries as 1 and all non-diagonal entries as 0. It is called an identity matrix as it would give a null matrix as a result when multiplied by other matrix.

    • An identity matrix is a matrix with all diagonal entries as 1 and all non-diagonal entries as 0. It is called an identity matrix as it would not change the original matrix when multiplied by it.

    • An identity matrix is a matrix with all its entries as 0. It is called an identity matrix as it would give a null matrix as a result when multiplied by any other matrix.

    • An identity matrix is a matrix with all its entries as 0. It is called an identity matrix as it would not change the original matrix when multiplied by it.

    Correct Answer
    A. An identity matrix is a matrix with all diagonal entries as 1 and all non-diagonal entries as 0. It is called an identity matrix as it would not change the original matrix when multiplied by it.
    Explanation
    An identity matrix is a matrix with all diagonal entries as 1 and all non-diagonal entries as 0. It is called an identity matrix as it would not change the original matrix when multiplied by it. This is because multiplying any matrix by the identity matrix is equivalent to multiplying it by 1, which does not change the matrix.

    Rate this question:

  • 6. 

          (8  3  1  2)            (7  8  2   5)A = (9  3  4  8)     B = (4  8  2  11)     X = A + B      (5  6  7  0)            (3  7  1   9)What do x2,3 and x1,4 represent? Give your answer in the form x2,3, x1,4.

    Correct Answer
    6, 7
    Explanation
    x2,3 represents the value at the 2nd row and 3rd column of matrix X, while x1,4 represents the value at the 1st row and 4th column of matrix X.

    Rate this question:

  • 7. 

    For addition to be possible, two matrices must have the same __________. For multiplication to be possible, the number of __________ in the first matrix must be the same as the number of __________ in the second matrix. The resultant matrix would have the number of __________ the first matrix has, and the number of ___________ the second matrix has.Fill in the above blanks, with a comma and a space in between succeding answers.

    Correct Answer
    order, columns, rows, rows, columns
    Explanation
    For addition to be possible, two matrices must have the same order. This means that they must have the same number of rows and columns.

    For multiplication to be possible, the number of columns in the first matrix must be the same as the number of rows in the second matrix.

    The resultant matrix would have the number of rows the first matrix has, and the number of columns the second matrix has.

    Rate this question:

  • 8. 

    A = (4  9  8  2  1)           (2)                                    (9)                              B = (2)                                    (3)                                    (4)Evaluate AB and BA and present your answers as AB, BA.

    Correct Answer
    (115), Impossible
  • 9. 

    A = 3 (1  2  8)     B = (5) (7  4  9)Evaluate A and B and present your answers as A, B with two spacings between each entry in each matrix.

    Correct Answer
    (3 6 24), Impossible
    Explanation
    The given answer is correct. To evaluate matrix A, we multiply each entry in the matrix by the scalar 3. So, 3 times 1 is 3, 3 times 2 is 6, and 3 times 8 is 24. Thus, matrix A is (3 6 24). To evaluate matrix B, we cannot perform scalar multiplication as there is only one entry in the matrix. Therefore, it is impossible to evaluate matrix B. Hence, the answer is (3 6 24), Impossible.

    Rate this question:

Quiz Review Timeline (Updated): Mar 21, 2023 +

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

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 09, 2009
    Quiz Created by
    Proprofsquizscho
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.