Are all identity Matrices square matrices?
For example, a 2x2 identity matrix would be:
1 0
0 1
but can you also have an Identity matrix for a 3x2 matrix, for example?
If yes, please give me an example.
Thanks in advance!
For example, a 2x2 identity matrix would be:
1 0
0 1
but can you also have an Identity matrix for a 3x2 matrix, for example?
If yes, please give me an example.
Thanks in advance!
Kunal
Favorite Answer
yes all identity Matrices s are quare matrices
Raymond
Among other things, an identity matrix is one which, when multiplying another matrix, leaves it unchanged (this is a requirement by definition -- if it does not do this, it is not an identity matrix).
A 3x2 matrix, when multiplying a 3x2 matrix, will either turn it into a 2x2 matrix or a 3x3 matrix (depending if it is "right-multiplied" or left-multiplied).
Taking a 3x2 matrix and changing it into a 2x2 matrix is definitely not "leaving it unchanged".
?
among countless issues, an identity matrix is one that, while multiplying one extra matrix, leaves it unchanged (it quite is in many circumstances a call for by capacity of utilising definition -- if it does not try this, it is not an identity matrix). A 3x2 matrix, while multiplying a 3x2 matrix, will the two turn it right into a 2x2 matrix or a 3x3 matrix (based no be counted if it extremely is "superb-more advantageous" or left-greater). Taking a 3x2 matrix and changing it superb right into a 2x2 matrix is not any doubt no longer "leaving it unchanged".
ambreen q
ya of course it will be always a square matrix..so 3x2 matrix is not possible anyway.
vino
http://en.wikipedia.org/wiki/Identity_matrix
http://mathworld.wolfram.com/IdentityMatrix.html