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