A cat-lover claims that cats are just as smart as dogs. In order to back this claim up with some evidence she organizes a study
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Need to find:
- Perimeter of new square formed?
Solution:
- Side of smaller square = 3cm.
- Side of Bigger square = 9cm
Using formula:
- Perimeter of square = 4 × side
<u>Perimeter of smaller </u><u>square:</u>
⟹ 4 × 3
⟹ 12 cm
<u>Perimeter of Bigger square:</u>
⟹ 4 × 9
⟹ 36cm
Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square
⟹ 36 - 12
⟹ 24 cm
∴ Perimeter of new square formed is 24 cm.
Not necessarily. 
and 
may be linearly dependent, so that their span forms a subspace of 
that does not contain every vector in .
For example, we could have
and 
. Any vector 
of the form 
, where 
, is impossible to obtain as a linear combination of these and , since
unless
and 
.
For example, we could have
unless