Math Chapter Wise question with answer

Q01 If scalar λ is a characteristic root of the matrix A then the matrix (A–λ) is– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q02 If the area of a triangle with the vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units, then the value of k is English · Bihar (TRE 2.0)-2023 Q03 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 Q04 If matrix A = 2 5 5 0 3 1 0 1 3 −, then Eigen value of the matrix A is: English · KVS PGT 2023 Q05 Let A be a 3 × 3 complex Hermitian matrix which is unitary. Then the distinct eigen values of A are: English · NVS PGT 2022 Q06 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