advertisement

Online Exams

Do you want to test your skills in a certain subject? Are you 100% ready for your final and you want to have a small warm up? Then this page is certainly what you are looking for..! The page provides you with 10 random questions for any subject you chose, then it will display your performance result! Try to get 10 correct answers and challenge your skills!

Select Course Name:

Selected Course: Linear Algebra
Displaying 10 out of 14 Questions Available

1 : Find the solution set of the system of linear equations represented by the given augmented matrix: \( \begin{bmatrix} 1 & 2 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \end{bmatrix} \)

2 : Use Carmers rule to find \( x_{3}: 5x_{1} + x_{2} – 2x_{3} = 4 …. 3x_{1} – 2x_{3} = 0 …. 4x_{2} + 2x_{3} = 2 \)

3 : Find a polynomial function \( p(x) \) of degree 2 or less that passes through the points: (1,1), (2,-1), and (3,-5):

4 : Find the solution set of the system of linear equation represented by the given augmented matrix: \( \begin{bmatrix} 1 & 2 & 1 & 0 \\ 0 & 1 & -1 & 1 \\ 0 & 0 & 0 & 1 \end{bmatrix} \)

5 : Calculate the inverse of the following matrix: \(A = \begin{bmatrix} 1 & -2 & 0 \\ -1 & 3 & 1 \\ 2 & -1 & 2 \end{bmatrix} \)

6 : Evaluate the determinant of the following matrix: \( \begin{bmatrix} 3 & 0 & 0 & 0 \\ 5 & 1 & 2 & 1 \\ 2 & 6 & 0 & -1 \\ -6 & 3 & 1 & 0 \end{bmatrix} \)

7 : Given that \( \lambda = 1\) is an eigenvalue for the matrix \( A = \begin{bmatrix}0 & 1 \\ 1 & 0 \end{bmatrix} \), find the corresponding eigenvector:

8 : Find a matrix \(B\) that satisfies the equation: \(\begin{bmatrix} 1 & 1 \\ 2 & 1 \end{bmatrix} B= \begin{bmatrix} 2 & 0 \\ 3 & -4 \end{bmatrix} \)

9 : For which values of \(k\) will the following system have no solution? \(x + y = 1\) , \(-5x + (k^{2} – 9)y = k-7\)

10 : Calculate the inverse of the matrix \(A= \begin{bmatrix}4 & 1 \\ 5 & 7 \end{bmatrix} \)


Comments 9

    1. Post
      Author
    1. Post
      Author

      Thank you for your feedback!!! actually i’ve taken these questions either from test banks or from the previouses.

      If there is any wrong answer please let me know the question and the correct answer so I can correct them..

      Thank you in advance..!!!

  1. hi I need exams for health sciences nursing .. why no exams for communication or health assessment. I need also for pathophysiology

Leave a Reply

Your email address will not be published. Required fields are marked *