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Name

Class

Date

The set { (1,-2,6), (5,-10,30) } is

Linearly dependent

Linearly independent

Basis

None of the above

The subset { (1,-2), (2,9), (-4,3 } of $R^2$ is

Linearly dependent

Linearly independent

Basis

None of the above

If A is 4 $\times$ 5 matrix and its rank is 2 then nullity of matrix A will be

Dimension of set of 3 $\times$ 3 matrices with real entries is

If W is subspace of vector space v then

dim W = dim V

dim w $<$ dim V

dim w $>$ dim V

dim w $\le$ dim V

The dimension of subspace W = { (x,y,z) / x+y+z = 0 } of $R^3$ is

If A is m $\times$ 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

If A is m $\times$ n matrix then rank (A) + nullity (A) =

m + n

Is the set { (4,5,3), (1,0,2), (0,0,0) } is basis of $R^3$

Yes

Can not be determined

None of the above

10.

The set {1, x, $x^2$ } is

Linearly Independent

Linearly Dependent

Spans $P_2$

1 and 3 both

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