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Domain 1Objective 3

Linear Algebra and Calculus DY0-001 Practice Questions (Page 1)

Part of the Mathematics and statistics domain, which accounts for 17% of the DY0-001 exam. CompTIA does not publish an official question count, but from its 165-minute exam (~65–110 total, ~11–19 in this domain), expect 3–5 from this objective — we provide 21 practice questions to prepare you well beyond it. (estimate)

21questions here
5free pages
7concepts
17%of the exam

Questions 1–5

  1. 1expert · hard

    A data engineer is working with a feature matrix X of shape (100, 10). They compute the rank of X and find it is 10. They then add a new feature column that is a linear combination of two existing columns. What is the rank of the new matrix X' of shape (100, 11)?

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  2. 2foundation · easy

    Which distance metric sums the absolute differences between coordinates?

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  3. 3foundation · easy

    Given matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

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  4. 4expert · hard

    A data scientist is analyzing a transition matrix for a Markov chain representing user behavior on a website. The matrix is P = [[0.7, 0.3], [0.2, 0.8]]. They want to find the steady-state distribution, which is the eigenvector corresponding to the eigenvalue of 1. What is the steady-state distribution?

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  5. 5foundation · easy

    What is the Euclidean distance between the points (1, 2) and (4, 6)?

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