Which of the following statements about rank is given in the chapter?
ARank changes under every elementary transformation
BNo skew-symmetric matrix can be of rank 1
CRank of $A$ is always greater than rank of $A'$
DEvery zero matrix has rank 1
Answer & Solution
Correct answer: B. No skew-symmetric matrix can be of rank 1
The listed properties state that rank remains unchanged under elementary transformations, no skew-symmetric matrix can have rank 1, and rank of $A$ equals rank of $A'$. Hence option B is correct.
Related questions
If a = 2 and b = −3, value of a² − b²:If 0 < a < b and a^2 + b^2 = 50, ab = 7, what is b − a?Solve: |2x − 5| = 3.Expand (x + y)³.If a + b = 7 and ab = 12, find a² + b².If x + 1/x = 3, find x² + 1/x².If x² + y² = 25 and xy = 12, then (x + y)² =If $z=x+iy$, what is the modulus $|z|$?
![](https://qallery.app/diagrams/v2_337fce5574f0/