Publish On: 2019-04-18

Guy white

Total Post: 819

Question: What are equivalent matrices

Reply On: 2013-10-04

Mjay Jollay

Total Post: 0

ANS: What are equivalent matrices

Two matrices A and B are said to be equivalent, A ~ B, if one can be obtained from the other by a sequence of elementary transformations. Equivalent matrices have the same order and same rank.

The following results are obvious:

(a) Each matrix A is equivalent to itself, i.e. A ~ A.

(b) If a matrix B is equivalent to A, then A is also equivalent to B, i.e. A ~ B implies B ~ A.

(c) If a matrix C is equivalent to B, and B is equivalent to A, then C is equivalent to A, i.e. A ~
B and B ~ C imply A ~ C.

(d) If A and C are both equivalent to B, then they are equivalent to each other.


Submit Your Answer

warning: Please Login To Submit Your Answer
Like Us On Facebook for All Latest Updates