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752 matching entries · page 1 of 16

Linear Algebra · Easy

Gram-Schmidt Process

Original interpretation · Match confidence: medium

Susquehanna (SIG) · Topic guidance
About this question’s source match

The title and category identify the topic, but no accessible evidence establishes the hidden catalogue statement. This is an original numerical practice question on that specific topic. The hidden Trading Interview wording, parameters and requested subparts have not been verified.

Apply Gram-Schmidt, in the stated order, to a=(1,1,0) and b=(1,0,1). Give an orthonormal basis for their span and verify it.

Assumptions and constraints

  • Use exact arithmetic until the final numerical approximation.
  • Answer every requested subpart and justify your reasoning.

Examples

a=(1,0), b=(0,2)
→ q1=(1,0), q2=(0,1)

Already orthogonal vectors only need normalization.

Company preparation relevance

These links connect this exercise to companies’ public examples or stated interview topics. They do not establish that a company asked this exact Learnr question.

  • Susquehanna (SIG)

    Official topic guidance

    Topic overlap: variance “Variance of Two Variables” and linear-algebra exercises “Gram-Schmidt Process”/“Rank” align with a recruiter responsibility to create interview questions in probability, statistics, calculus and linear algebra.

    Quantitative Recruiter — official job posting11568 ↗
    Evidence scope and uncertainty

    Primary employer posting read through its search-indexed content; direct fetch returned an error. The posting concerns recruiting responsibilities, not a disclosed applicant question list.

    Topic categories are present in the indexed official posting. No statement confirms these exercises were used, and job postings can change or expire.

References

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Catalogue metadata captured 2026-10-12. Metadata source.