Linear algebra- matrices

akleron

New member
Joined
Dec 28, 2019
Messages
32
Hello !

Just wanted to know, is the following statement correct ?
A,B are Matrices of the same size and alpha is scalar
1578928791162.png
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
9,172
Hello !

Just wanted to know, is the following statement correct ?
A,B are Matrices of the same size and alpha is scalar
View attachment 16038
If both \(\displaystyle A~\&~B\) are \(\displaystyle n\times m\) matrices then yes the above holds.
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
5,108
As stated by pka it is correct. My question is why don't you get your hands a little dirty by proving it yourself. It really isn't that hard. Just write done two ARBITRARY nxm matrices and see if you get the results which you want. Please do this as it will help you and please show us your work.
 

akleron

New member
Joined
Dec 28, 2019
Messages
32
As stated by pka it is correct. My question is why don't you get your hands a little dirty by proving it yourself. It really isn't that hard. Just write done two ARBITRARY nxm matrices and see if you get the results which you want. Please do this as it will help you and please show us your work.
Hello!
Actually I did !
But I wasn't sure if my example is enough to represent the general case ( I thought that there might be some matrices under certain rules that might not apply for that rule)
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
5,108
Hello!
Actually I did !
But I wasn't sure if my example is enough to represent the general case ( I thought that there might be some matrices under certain rules that might not apply for that rule)
Did your example have numbers and/or was a particular size? If yes, then what you showed might not be true in general. Why not show it in the general case? Try to do that and post back your work. If you need help with it then just ask.
 
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