Linear Algebra Interview Question-Answer

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


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