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SUBSPACES
Vector Space V ≡ M
2x2
over R (Standard Operations), where M
2x2
is the collection of 2x2 real matrices
Example I
(i) W = {
(
a
0
0
b
)
: a , b ∈ R} is a subspace of V.
CAUTION :
Enter:
a:
b:
α:
Submit
JUSTIFICATION :
Let
Then
Conclusion
Example II
(ii) W = {2x2 real matrices with integer entries} is not a subspace of V.
CAUTION :
(Enter integer values only)
a:
b:
c:
d:
e:
f:
g:
h:
α:
Submit
JUSTIFICATION :
Let
Then
Conclusion
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