Tech Mahindra Math Expert Interview Questions and Answers

You'll be provided a M.Sc Mathematics level written Assignment you have to answer the given 10 questions and each question carries 5 marks and then at the end upload the written test as a pdf

Q1. Vector space properties
Ans. 
Vector space properties include closure under addition and scalar multiplication, commutativity, associativity, distributivity, and existence of zero and additive inverse.
• Closure under addition: For any vectors u and v in a vector space V, u + v is also in V.

• Closure under scalar multiplication: For any vector u in V and scalar c, cu is also in V.

• Commutativity of addition: u + v = v + u for all u, v in V.

• Associativity o...read more
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Q2. Convergence of sequence etc
Ans. 
Convergence of a sequence is when the terms of the sequence get closer and closer to a certain value as the sequence progresses.
• A sequence converges if the terms get arbitrarily close to a single value as the sequence progresses.

• Convergence can be proven using the epsilon-delta definition or by showing that the terms eventually stay within a certain range.

• Examples of convergent sequences include 1/n, (-1)^n/n, and 1/n^
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