Mathematical Preliminaries in Data Science Quiz

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Questions and Answers

What is a vector?

  • A 2-dimensional representation of arrays of numbers
  • A universal symbol for addition
  • An object with only magnitude
  • An object with both magnitude and direction (correct)

What does the symbol ∑ represent in mathematics?

  • A symbol for conditional probability
  • A 2-dimensional representation of arrays of numbers
  • An object with both magnitude and direction
  • A universal symbol for addition (correct)

What does 'n x m' denote in the context of matrices?

  • The number of elements in a matrix
  • The symbol for conditional probability
  • The dimension of a matrix, indicating it has n rows and m columns (correct)
  • A 1-dimensional array of numbers

What is the difference between Bayesian and Frequentist probability?

<p>Bayesian probability incorporates prior knowledge, while Frequentist probability relies on observed data (D)</p> Signup and view all the answers

What is a square matrix?

<p>A matrix with the same number of rows and columns (A)</p> Signup and view all the answers

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Study Notes

Vectors and Matrices

  • A vector is a mathematical object used to represent quantities with both magnitude and direction.

Mathematical Notation

  • The symbol ∑ (sigma) represents the summation of a sequence of numbers in mathematics.

Matrix Dimensions

  • 'n x m' denotes the dimensions of a matrix, where 'n' is the number of rows and 'm' is the number of columns.

Probability

  • Bayesian probability is based on personal beliefs and subjective probabilities, using prior knowledge to update probabilities as new data arises.
  • Frequentist probability is based on the frequency of occurrence of events, using long-run relative frequencies to estimate probabilities.

Matrices

  • A square matrix is a matrix with the same number of rows and columns (n x n).

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