Suppose this were a linear mapping. Then if as well as , it would follow that . (Check the definition of linearity in your notes.)
Now try this for your mapping:
and , but .
Thus the mapping is not linear.
I have a linear algebra problem which I need urgent assistance with.
I'm present with something called a translation . I'm tasked with showing that this "translation" can't be done as a linear mapping using regular coordinants.
Any hints/idear on how I do that ????
Hope and pray to hear from You.
Sincerely and Best Regards,