Problem Sheet # 4

1. Determine if the following sets are subspaces of ? If so, find basis and dimension.

i.

ii.

2. Determine if is

subspace of ? If so, find basis and dimension of W.

3. Find null space of each the following matrices. Also find nullity and basis of each null

space.

i.

48542

13221

71163

ii.

20112

125448

121233

02215

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dharm

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University:
Institute of Mathematics and Applications

Subject:
Linear Algebra

Upload date:
07/08/2012