Question 8270 – Engineering-Mathematics

Perform the following operations on the matrix

(i) add the third row to the second row
(ii) Subtract the third column from the first column

The determinant of the resultant matrix is ________.

Correct Answer: A

Method 2: Determinant is unaltered by the operations (i) and (ii)
∴ Determinant of the resultant matrix = Determinant of the given matrix

(Since C₁, C₃ are proportional i.e., C₃ = 15C₁)