WorksheetsLinear Algebra_Simple Quiz
Total questions: 15
Worksheet time: 8mins
Choose the correct one: A finite set which spans the Vector Space V. Then V is?
Linearly Independent
Linearly dependent
Finite Dimensional
Finite Subspace
Which one is correct: A set which is not linearly independent, then it is ?
Linearly Dependent
Basis
Span
Minimal generating set
Subset of Linearly dependent set is linearly dependent
Which of the following is not a basis for R x R x R over R:
S={(1,0,0), (0,1,0), (1,0,1)}
S={(1,0,0), (0,1,0), (0,0,1)}
S={(1,0,0), (1,1,0), (1,1,1)}
S={(1,0,0), (1,1,0)}
Which of the following is not a trivial subspace of V over F
{0}
V
{(1,0,0), (0,1,0), (0,0,1)}
Intersection of Subspaces of a Vector Space is again a Subspace of that Vector Space
R is a Vector Space over C
Super set of Linearly independent is linearly independent
Any two bases of a finite dimensional vector space V have the different number of elements
Dimension of M_2(R)?
3
2
14
4
Union of any subspaces of V is again a subspace of V
dim W1+dim W2 = dim(W1∩W2)+ ------?
dim(W1)
dim(W2)
dim(W1∪W2)
dim(W1+W2)
Identify the correct for 'Linear Operator'
Linear Transformation from V to W
Bijective mapping from V to W
One-one mapping from V to V
Linear Transformation from V to V
T is onto if and only if T is non-singular
Which one of the following is not a Linear Transformation?
Identity transformation
