Is the matrix
6 0
0 5
a linear combination of the matrices
1 0
0 1
and
1 0
0 0
?
how do you figure this out?
then
a|1 0|
|0 1|
+
b|1 0|
|0 0|
=
|6 0|
|0 5|
hope this lines up ....
so
|a 0|
|0 a|
+
|b 0|
|0 0 |
=
|6 0|
|0 5|
only true if:
a+b = 6
a+0+5
a = 5 , b = 1 makes it true
yes, it can be expressed as a linear combination