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- 1. Multiple Choice
The set { (1,-2,6), (5,-10,30) } is
Linearly dependent
Linearly independent
Basis
None of the above
- 2. Multiple Choice
The subset { (1,-2), (2,9), (-4,3 } of is
Linearly dependent
Linearly independent
Basis
None of the above
- 3. Multiple Choice
If A is 4 5 matrix and its rank is 2 then nullity of matrix A will be
2
5
3
1
- 4. Multiple Choice
Dimension of set of 3 3 matrices with real entries is
6
9
3
0
- 5. Multiple Choice
If W is subspace of vector space v then
dim W = dim V
dim w dim V
dim w dim V
dim w dim V
- 6. Multiple Choice
The dimension of subspace W = { (x,y,z) / x+y+z = 0 } of is
1
3
2
0
- 7. Multiple Choice
If A is m n matrix then which of the following is correct
Row rank (A) = Column rank (A)
Row rank (A) Column rank (A)
Row rank (A) Column rank (A)
None of the above
- 8. Multiple Choice
If A is m n matrix then rank (A) + nullity (A) =
mn
m
m + n
n
- 9. Multiple Choice
Is the set { (4,5,3), (1,0,2), (0,0,0) } is basis of
Yes
No
Can not be determined
None of the above
- 10. Multiple Choice
The set {1, x, } is
Linearly Independent
Linearly Dependent
Spans
1 and 3 both
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