Math Chapter Wise question with answer

Q01 A square matrix P satisfies P2 = I – P. If Pn = 5I – 8P, then n is equal to English · LT 2018 Q02 If a matrix X satisfies 1 3 1 0 X 0 1 0 1 = then X is equal to English · UP PCS (Pre) 2009 Q03 If α and β are the roots of the equation x2 + x + 1 = 0 then 1 β α β α β equals: English · EMRS PGT-2023 Q04 If the system of linear equations: x + y + kz = 4 x – 2y +2z = 3 3x + y – z = 5 are inconsistent, then the value of... English · KVS PGT 2023 Q05 Given 2x−y+2z=2 x − 2y + z = − 4 x + y +λz = 4 Then the value of λ such that the given system of equations has no s... English · NVS PGT 2022 Q06 If the system of equations λx + y + z =0, x + λy + z = 0, x + y + λz =0 have non-zero solutions, then λ =? English · OAVS TGT 2022