Discussion
If A is of order n, what is the determinant of kA?
Answer: A
Correct answer: k raised to the power n, times the determinant of A
\[ |kA| = k^{n}|A| \] for a matrix of order \( n \), because multiplying the matrix by \( k \) multiplies every one of its \( n \) rows by \( k \), and each row scaling takes a factor of \( k \) out of the determinant. The common error is to take out a single factor, giving \( k|A| \), which is offered here.
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