Math Chapter Wise question with answer

Q01 Let A be nonsingular diagonalizable matrix of order 3 with eigenvalues λ1, λ2, λ3. Then A-1 diagonalizable if. English · DSSSB 23 SEP 2018 (9 AM-11 AM) Q02 Let 3× × ×3 real matrix A be of rank 2 and 1 1 0 B = 0 1 0 Then the rank of A.B: 1 0 1 English · UP PCS (Pre) 2002 Q03 Let A = 0 0 -1 0 -1 0 -1 0 0 The only correct statement about the matrix A is: English · EMRS PGT-2023 Q04 Let A be a 3 × 3 complex Hermitian matrix which is unitary. Then the distinct eigen values of A are: English · NVS PGT 2022 Q05 Let A be 3 × 3 matrix satisfying 0 2 1 2 A 1 3,A 1 1 and 0 7 0 2 1 5 A 1 9, 1 2 then the sum of the diagonal entrie... English · OAVS TGT 2021 Q06 Let P be a 4 × 4 matrix whose determinant is 10. The determinant of the matrix –3P is: English · Haryana PGT 2018