ExamsMy practice
1
Let A = bmatrix 3 & -4 \ 1 & -1 bmatrix and B be two matrices such that A100 = 100B + I. Then the sum of all the elements of B100 is
JEE Main 2026 (Online) 28th January Evening Shift
Matrices
Previous year questions with solutions · 2025 – 2026
19Questions
19Papers covered
2.53% ↑8.3%Weightage in 2026
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 12 | 19 | 0.63 | 2.53% ↑8.3% |
| 2025 | 7 | 12 | 0.58 | 2.33% |
2
For some , R, let A = bmatrix & 2 \ 1 & 2 bmatrix and B = bmatrix 1 & 1 \ 1 & bmatrix be such that A2 - 4A + 2I = B2 - 3B + I = O. Then ( ( adj(A3 - B3)))2 is equal to .
JEE Main 2026 (Online) 21st January Morning Shift
3
Let A = bmatrix & 0 & - \ 0 & 1 & 0 \ & 0 & bmatrix. If for some (0, ), A2 = AT, then the sum of the diagonal elements of the matrix (A + I)3 + (A - I)3 - 6A is equal to .
JEE Main 2025 (Online) 4th April Morning Shift
4
Let S = \m Z : Am2 + Am = 3I - A-6 \, where A = bmatrix 2 & -1 \ 1 & 0 bmatrix. Then n(S) is equal to .
JEE Main 2025 (Online) 29th January Morning Shift