Hi Avi,

On 2015-07-12, avi kaur <kauravi...@gmail.com> wrote:
> Hello
>
> I figured out that when we add a number to a matrix, It adds this
> number to all the elements at diagonal of matrix. for example:

That's the expected behaviour. If R is a commutative ring and M is the
ring of all nxn matrices over R, then we can identify R with the
sub-ring of M given by all diagonal matrices.

In other words: Let A be an integer nxn-matrix A, let b be an integer,
and let B be the nxn matrix that has b on the diagonal and zero
off-diagonal.
The component-wise scalar multiplication A*b has the same result as the
matrix product A*B. And the algebraically most consequent interpretation
of A+b is /not/ component-wise, but is A+b=A+B.

Best regards,
Simon


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