Math Chapter Wise question with answer

Q01 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 Q02 If A is an invertible matrix of order 2, then det (A-1) is equal to English · Bihar (TRE 2.0)-2023 Q03 If A is a square matrix such that A2 = I, then (A – I)3 + (A + I)3 – 7A equals: English · NVS PGT 2022 Q04 t: R2 → R3, t (a,b) = (a + b, a – b, b) ∀ (a, b) ∈R2 is a linear transformation, then ker(t) is equal to - English · RPSC PGT 2022 Q05 If A = (aij)2×2 and aij = ≠ 2 2 i + j;i j i – j;i = j, then A–1 is equal to - English · RPSC PGT 2022 Q06 If A = 1 2 2 1 2 1 –2 3 x 2 y is an orthogonal matrix, then (x +y) is equal to - English · RPSC PGT 2022