Two matrices 
and 
are said to be equal iff
 |
(1)
|
for all 
.
Therefore,
![[1 2; 3 4]=[1 2; 3 4],](/images/equations/MatrixEquality/NumberedEquation2.svg) |
(2)
|
while
![[1 2; 3 4]!=[0 2; 3 4].](/images/equations/MatrixEquality/NumberedEquation3.svg) |
(3)
|
Matrix Equality
See also
Equivalent Matrix, Matrix EquationExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Matrix Equality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MatrixEquality.html