Let A = bmatrix x&y&z &z&x &x&y bmatrix , where x, y and z are real numbers such that x + y + z 0 and xyz =...

Question

Let A = bmatrix x&y&z &z&x &x&y bmatrix , where x, y and z are real numbers such that x + y + z > 0 and xyz = 2. If A^2=I_3, then the value of x^3+y^3+z^3 is________.

Accepted Answer

7

JEE Main 2021 Mathematics question

Solution