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 Let a 1 4 A 0 b 7 0 0 3 − = be a matrix with real entries, If the sum and the produce of all the eigen values of A... English · JDD-75-PGT TIER II-X-15 28.06.2015 Q03 Let 2 0 0 A 0 2 0 0 0 2 = and 1 2 3 B 0 1 3 0 0 2 = be matrices. Then the determinant of AB equals: English · NVS PGT 10-06-2019 Q04 If –1, 0 and 1 are the elements of two matrices A and B of order 1×3 and of order 3×1 respectively, then AB equals: English · UP PCS (Pre) 1998 Q05 If A = 0 α and |A3 | = 125, then α equals English · TGT 2004 Q06 The system of equations: ax + y + z = α –1 x + αy + z = α –1 and x + y + αz = α –1 has no solution, if α is: English · EMRS PGT-2023