Matrices and determinants Questions
Math 101 - Calculus and Linear Algebra Past Papers

Practice 16 past-paper questions for Matrices and determinants in Math 101 - Calculus and Linear Algebra. Get solutions and exam preparation resources.

Click on a question to view the full answer

1. 9. The row rank and column rank of the matrix is

2. Define null space and column space. Find null space and column space of the matrix A = |1 -2 2 3 —1| given by A = |1 -2…

3. If $5$ and $3$ are the number of columns and rank of a matrix respectively. The nullity of the matrix is _______.

4. The polar equation $r^2 = 4\sin 2\theta$ represents

5. Define conservative field? Write the component test criteria for a field to be conservative. Show that the field F' = (y…

6. The Hessian of the function $f(x,y) = x^2 + y^2$ at $(1,2)$ is

7. If a function $z = f(x,y)$ is a differentiable function of $x$, $y$, and $x$, $y$ are functions of $t$, then $z$ is a di…

8. The critical point of $f(x,y) = x^2 + y^2$ is .

9. OR Define the conservative field and state the conditions for the component test for conservative fields. Is the vector…

10. ## 14. What does a frequency polygon with a large negative skew indicate?

11. ## 20. Which one of the following variables is not categorical?

12. Solve the system of linear equations: $3x + 5y - 4z = 7$ $-3x - 2 + 4z = -1$ $6x + y - 8z = -4$

13. The row rank of the matrix $A = \begin{pmatrix} 1 & -5 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 0 \end{pmatrix}$ is

14. Find the inverse of the matrix $A=\begin{bmatrix} 1 & 0 & -2 \\ -3 & 1 & 4 \\ 2 & -3 & 4 \end{bmatrix}$

15. Show that dual of dual for the given primal is primal itself: Maximize Z = 16x; + 14x, + 36x3 + 6x4 Subject to the const…

16. Solve the assignment problem for the given matrix: | | I | II | III | IV | | --- | --- | --- | --- | --- | | A | | |…

Sponsor Space