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Implement Sparse Matrix Operations

Last updated: Apr 16, 2026

Quick Overview

This question evaluates proficiency in sparse linear algebra, efficient algorithms, and data-structure design for numerical and machine learning workloads.

  • medium
  • Meta
  • Coding & Algorithms
  • Machine Learning Engineer

Implement Sparse Matrix Operations

Company: Meta

Role: Machine Learning Engineer

Category: Coding & Algorithms

Difficulty: medium

Interview Round: Technical Screen

Implement core sparse linear-algebra utilities for interview-style ML code. Tasks: 1. Compute the dot product of two sparse vectors efficiently. 2. Implement multiplication of two sparse matrices efficiently. 3. Compare coordinate-list and compressed-sparse-row style representations for these operations, and explain the trade-offs in memory usage and runtime. You may assume sparse vectors are represented by sorted `(index, value)` pairs, and sparse matrices are represented either as nonzero triples `(row, col, value)` or an equivalent compressed sparse structure.

Quick Answer: This question evaluates proficiency in sparse linear algebra, efficient algorithms, and data-structure design for numerical and machine learning workloads.

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Meta
Feb 8, 2026, 12:00 AM
Machine Learning Engineer
Technical Screen
Coding & Algorithms
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Implement core sparse linear-algebra utilities for interview-style ML code.

Tasks:

  1. Compute the dot product of two sparse vectors efficiently.
  2. Implement multiplication of two sparse matrices efficiently.
  3. Compare coordinate-list and compressed-sparse-row style representations for these operations, and explain the trade-offs in memory usage and runtime.

You may assume sparse vectors are represented by sorted (index, value) pairs, and sparse matrices are represented either as nonzero triples (row, col, value) or an equivalent compressed sparse structure.

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