Math Chapter Wise question with answer

Q01 Let a square matrix A be such that A, A2, A3 are non-zero matrix but A4 is zero matrix. Then (I – A)–1 is English · UP PCS (Pre) 2003 Q02 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 Q03 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 Q04 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 Q05 Let A = 0 0 -1 0 -1 0 -1 0 0 The only correct statement about the matrix A is: English · EMRS PGT-2023 Q06 Let A be a 3 × 3 complex Hermitian matrix which is unitary. Then the distinct eigen values of A are: English · NVS PGT 2022