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Matrix and Vector Operations Flashcards

7 cards from real MATLAB practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What does the MATLAB expression `A \ b` compute when A is a square matrix?

    Answer: The solution x to the linear system A*x = b

    The backslash operator solves the linear system A*x = b using efficient factorization, equivalent to inv(A)*b but numerically more stable.

  2. Which MATLAB function returns both eigenvalues and eigenvectors of a matrix A?

    Answer: [V, D] = eig(A)

    With two output arguments, eig returns V (eigenvectors as columns) and D (diagonal matrix of eigenvalues).

  3. What is the result of `dot([1 2 3], [4 5 6])` in MATLAB?

    Answer: 32

    The dot product is 1*4 + 2*5 + 3*6 = 4 + 10 + 18 = 32.

  4. How do you extract the diagonal elements of matrix A as a column vector in MATLAB?

    Answer: diag(A)

    diag(A) extracts the main diagonal of matrix A and returns it as a column vector.

  5. What does `rank(A)` return for a 4x4 identity matrix?

    Answer: 4

    The identity matrix has 4 linearly independent rows and columns, so its rank is 4 (full rank).

  6. Which operation computes the Hadamard (element-wise) product of two matrices A and B in MATLAB?

    Answer: A .* B

    The .* operator performs element-wise multiplication, requiring A and B to have identical dimensions.

  7. What does `triu(A)` return for a matrix A?

    Answer: The upper triangular part of A

    triu extracts the upper triangular portion of matrix A, setting all elements below the main diagonal to zero.