Q.1 The _____________ of a vector space is a set of linearly independent vectors that span the entire space.
A. Scale
B. Dot Product
C. Cross Product
D. Basis
Ans : Basis
Q.2 Consider the following 2 X 2 square matrices A , B and C. (A+B) + C = A + (B + C) signifies which property?
A. Commutative
B. Associativity
C. Singularity
D. Symmetry
Ans : Associativity
Q.3 _______ is the number of dimensions in the output of a Transformation.
A. Basis
B. Rank
C. Linear Combination
D. Span
Ans : Rank
Q.4 The set of all possible vectors you can reach with the linear combination of two vectors is called _________.
A. Linear Combination
B. Basis
C. Scaling
D. Span
Ans : Linear Combination
Q.5 Consider two square matrices A and B with dimension m X m. AB = BA
A. True
B. False
Ans : True
Q.6 Every vector in 2D space is associated with multiple pairs of number.
A. True
B. False
Ans : False
Q.7 In a linear transform, when the orientation of space is inverted, the determinant value is negative.
A. True
B. False
Ans : True
Q.8 Every vector in 2D space is associated with multiple pairs of number.
A. True
B. False
Ans : False