Question 11158 – Engineering-Mathematics

Let A be an Let A be an n × n matrix of the following form.

What is the value of the determinant of A?

Correct Answer: D

Question 6 Explanation:

Put n=1, you will get a matrix like [3].
Find its determinant, Determinant = 3.
Now check options, by putting n=1, I am getting following results,
A) 5
B) 7
C) 3
D) 3
(A), (B) can’t be the answer.
Now, check for n=2, Determinant = 9-1 = 8.
Put n=2 in (C), (D)
C) 7
D) 8
So, (D) is the answer.