MTH501 Quiz 1 Updated by Attiq Kundi

MTH-501 Quiz-1 BY Attiq Kundi · YOU TUBE MTH501 100 % CORRECT · MCSQ · AND Many MoRe · 1-Linear Algebra

1. If the determinant of the matrix A = adding 2 times of the second row in the first

row of the matrix A, then which of the following is true for the matrix B?

Its determinant is -1.

2. The solution of Ax = b exists if and only if b can be written as a linear combination of of A.

Columns

3. A sufficient condition for the jacobi's method to converge for the linear system Ax=b
4. Two simultaneous linear equations in two variables have no solution if their corresponding lines are .
5. Which of the following will be the Matrix Product corresponding to Linear Combination: x y

x y

6. Which of the following will be the Linear Combination corresponding to x y

x y

Q7. If a homogeneous system Ax = 0 has atrivial solution, then which of the following is(are) the value (s)of the vector x?

8. A square matrix A is said to be diagonal if A is similar to a matrix

Diagonal matrix

Q9. Why inverse of the matrix A= [1 2] is NOT possible?

Because it is a saquare matrix

10. Which of the following Elementary Row operations would perform in order to 1 2 -5 1 2 -5 -4 1 -6 0 9 -36 6 3 -4 0 -9 26 R R R R R R

Q11. What is the maximum possiblle number of pivots in a 6 × 6 matrix?

12. A homogeneous linear system always has the trivial solution: there are only two possibilities for its solutions:

The system has infinitely much solutionsnin addition to trivial solution

13. A system of linear equations is said to be homogeneous if the constant terms are all

Zero

14. In A is a square matrix, then the minor of entry ith row and jth column is to be the determinant of the sub matrix that remains when the ith row and jth column of A are

Added

15. 7x is an algebraic term in which 7 is a and x is a
16. Which of the following is the coefficient matrix for the system x x x x x x x x

1 -2 1 0 2 -7 -4 3 9

17. Let ' Ax = 0' be a homogeneous linear system of 'n' equations and 'n' unknowns. Then, the coefficient matrix 'A' is invertible if and only if this system has solution.

Trivial

18. Two simultaneous linear equations in two variables have no solution if their corresponding lines are .
19. The solution of Ax = b exists if and only if b can be written as a linear combination of of A.

Columns

20. Let V be a five-dimensional vector space, and let S be a subset of V which spans

V. Then S