If A = bmatrix -4 & -1 3 & 1 bmatrix , then the determinant of the matrix (A^ 2016 -2A^ 2015 -A^ 2014 ) is :

JEE Main 2016 Mathematics question

If , then the determinant of the matrix is :

Answer: (4)

Factor out the common power:

-- = -2A-I).

Since the determinant of a product is the product of the determinants,

= ( ·-2A-I).

Here , so . Now

Create a free account to read the complete working (7 steps), and practise questions like this in a timed test.

Question ID VK-115662