Linear Algebra and Calculus Quiz for Machine Learning Enthusiasts
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Questions and Answers

Which of the following is a scalar?

  • x
  • Rn
  • 2 (correct)
  • [1, 2, 3]

Which of the following is a vector?

  • [1, 2, 3] (correct)
  • 2
  • Rn
  • x

Which notation represents a vector of real values?

  • Rn (correct)
  • [1, 2, 3]
  • 2
  • x

Which notation represents a vector of integer values?

<p>Zm (D)</p> Signup and view all the answers

Which notation represents a matrix?

<p>x (A)</p> Signup and view all the answers

Which of the following is the correct definition of probability?

<p>Probability is a measure of the likelihood of an event happening. (B)</p> Signup and view all the answers

What is the range of probability values?

<p>0 to 1 (A)</p> Signup and view all the answers

What does a probability of 0 indicate?

<p>The event is certainly not going to happen. (B)</p> Signup and view all the answers

What is the probability mass function (PMF) used for?

<p>To measure the probability of discrete random variables. (D)</p> Signup and view all the answers

What is the range of probability values for a valid PMF?

<p>0 to 1 (A)</p> Signup and view all the answers

Flashcards

Scalar example

A single numerical value, like 2.

Vector example

An ordered list of numbers, like [1, 2, 3].

Vector of real values

A vector whose elements are real numbers.

Vector of integer values

A vector whose elements are integers.

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Probability definition

A measure of how likely an event is to happen.

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Probability range

Probability values range from 0 to 1.

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Probability of 0

An event that will definitely not happen.

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PMF purpose

Measures probability of discrete random variables.

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PMF range

PMF values are between 0 and 1.

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Matrix notation

x

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