MTH601 Quiz 3 January 2026

Quiz 1 - MTH601

Question:

When constraints are of greater than or equal to type, then we ______________.

A. subtract slack variable and add artificial variable

B. both of these C. add slack variable and subtract artificial varialbe D. non of these Copied: 1/2/2026, 8:22:23 PM

Quiz 2 - MTH601

Question:

While solving a LP by Simplex method, which of the following corresponds to corner points of the feasible region in Graphical method?

1. non-negative solutions
2. basic feasible solution
3. non-basic feasible solution
4. non-feasible solution

Correct answer: basic feasible solution

Copied: 1/2/2026, 8:22:39 PM

Quiz 3 - MTH501

Question:

A system of linear equations is said to be homogeneous if it can be written in the form ______________.

A. AX=0

B. AX=B Copied: 1/2/2026, 8:23:17 PM

Quiz 4 - MTH501

Question:

If n x n matrices A and B are similar, then they have the ________ eigenvalues (with the same multiplicities).

A. additive inverse of each other B. distinct C. multiplicative inverse of each other

D. same

Copied: 1/2/2026, 8:23:32 PM

Quiz 5 - MTH501

Question:

If A and B are n x n matrices, then det (AB) = ______________.

A. A.B

B. det(A).det(B)

C. A.det(B) D. det(A).B Copied: 1/2/2026, 8:23:48 PM

A. (0, 0, 1)

B. (0, a, 0)

C. None of the above D. (0, 0, a) Copied: 1/2/2026, 8:25:27 PM

Quiz 9 - MTH501

Question:

The characteristics polynomial of a 3x 3 identity matrix is __________, if x is the eigen values of the given 3 x 3 identity matrix.

A. (x - 1)^3

B. X^3 C. (1 - x)^3 D. (x + 1)^3 Copied: 1/2/2026, 8:26:01 PM

Quiz 10 - MTH501

Question:

Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that Av =

A. A. xv B. x . A C. x. Av D. x . v Copied: 1/2/2026, 8:26:20 PM