Discussion
For a matrix A of order 3 with determinant 2, the determinant of its adjoint is
Answer: B
Taking determinants of \( A\,\mathrm{adj}A = (\det A) I \) for order \( n \):
\[ \det A \cdot \det(\mathrm{adj}A) = (\det A)^{n} \quad\Rightarrow\quad \det(\mathrm{adj}A) = (\det A)^{n-1} \]
\[ = 2^{3-1} = 2^{2} = 4 \]
For a 2 by 2 matrix the exponent is one and the adjoint's determinant simply equals the matrix's own.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development