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    Linear Algebra for Data and Engineering

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    Vectors, matrices, eigen‑ideas, and decompositions that power modern computing.

    10 content steps
    4 quizzes
    ~210 minutes
    Popular

    Journey Overview

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    Journey Steps

    Preview
    1

    Content Step 1

    Content
    Vectors, norms, and inner products
    2

    Content Step 2

    Content
    Matrix operations and linear systems (Ax = b)
    3

    Content Step 3

    Content
    Row reduction, rank, and invertibility
    4

    Quiz 4

    Quiz
    Checkpoint Quiz
    5

    Content Step 5

    Content
    Determinants and their meaning
    6

    Content Step 6

    Content
    Vector spaces, subspaces, and bases
    7

    Content Step 7

    Content
    Linear transformations and matrices
    8

    Quiz 8

    Quiz
    Checkpoint Quiz
    9

    Content Step 9

    Content
    Eigenvalues, eigenvectors, and diagonalization
    10

    Content Step 10

    Content
    Orthogonality and Gram–Schmidt
    11

    Content Step 11

    Content
    Least squares and projections
    12

    Quiz 12

    Quiz
    Checkpoint Quiz
    13

    Content Step 13

    Content
    SVD intuition and applications (compression, PCA)
    14

    Quiz 14

    Quiz
    Checkpoint Quiz

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