If the matrix A= bmatrix 1&0&0 0&2&0 3&0&-1 bmatrix satisfies the equation A^ 20 + A^ 19 + A= bmatrix 1&0&0...

Question

If the matrix A= bmatrix 1&0&0 0&2&0 3&0&-1 bmatrix satisfies the equation A^ 20 + A^ 19 + A= bmatrix 1&0&0 0&4&0 0&0&1 bmatrix for some real numbers and , then - is equal to________.

Accepted Answer

4

JEE Main 2021 Mathematics question

Solution