GATE | GATE CS 2019 | Question 53

Consider the following matrix:



The absolute value of the product of Eigenvalues of R is _________ .

Note: This was Numerical Type question.
(A) 12
(B) 145
(C) 125
(D) 4


Answer: (A)

Explanation: The determinant of a matrix is equal to the product of eigenvalues. So, the determinant of above matrix will be calculated as follows:

Apply row operation R2 → R2 – R1 and R3 → R3 – R1 and R4 → R2 – R1



Apply row operation R3 → R3 – 2 * R2 and R4 → R4 – 3 * R2



Apply row operation R4 → R4 – 3 * R3



So, determinant of above matrix is,

= 6 * (2 * (1*1))
= 12 

So, answer is 12.


Quiz of this Question



My Personal Notes arrow_drop_up


Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.