Linear Algebra and Probability

Test your knowledge on fundamental concepts of Linear Algebra and Probability.

FREE QUIZ

10 Questions

~20 Minutes

Intermediate

Question 1

What is the result of adding two vectors?

A scalar A vector A matrix A tensor

Question 2

Which operation calculates the magnitude of projection of one vector onto another?

Cross product Dot product Vector addition Scalar multiplication

Question 3

What is the determinant of a matrix used for?

Calculating the inverse of the matrix Determining if the matrix is invertible Finding eigenvalues All of the above

Question 4

In probability, what does a 'sample space' refer to?

The set of all possible outcomes The set of all favorable outcomes The set of all impossible outcomes The set of all independent events

Question 5

What is conditional probability?

The probability of an event occurring given that another event has occurred The probability of two independent events occurring simultaneously The probability of an event not occurring The probability of all possible outcomes

Question 6

Which theorem relates conditional probability to its reverse condition?

Law of Large Numbers Central Limit Theorem Bayes' Theorem Pythagorean Theorem

Question 7

What does the mean represent in descriptive statistics?

The middle value in a dataset The most frequently occurring value The average of all values The difference between the maximum and minimum values

Question 8

Which measure indicates the spread of data in a dataset?

Mean Median Mode Standard deviation

Question 9

What type of distribution is characterized by a bell-shaped curve?

Uniform distribution Normal distribution Poisson distribution Exponential distribution

Question 10

In matrix operations, what is the result of multiplying a matrix by its inverse?

A zero matrix An identity matrix A diagonal matrix A scalar matrix

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