Discussion
The rank of a 3 by 3 matrix whose third row is the sum of the first two is at most
Answer: A
Correct answer: 2
The third row is a linear combination of the first two, so the three rows span at most a two-dimensional space and the rank is at most 2. It is exactly 2 provided the first two rows are themselves independent, and less only if they are not. The determinant is necessarily zero, since a matrix of order 3 with rank below 3 is singular.
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