Linear Algebra and Machine Learning Quiz

What does a scalar represent in linear algebra?

• A 1D array

• A single numerical value

• A matrix with one row

• A function

Which of the following best describes a matrix?

• A list of vectors

• A 2D array of numbers

• A collection of scalars only

• A line in space

If a matrix has dimensions 3×4, it has:

• 3 columns and 4 rows

• 4 rows and 3 columns

• 3 rows and 4 columns

• 12 columns

In deep learning, vectors and matrices are often used to represent:

• Only images

• Mathematical constants

• Data and model parameters

• Programming functions

Which operation is not valid between two matrices?

• Addition of same-shaped matrices

• Multiplication with proper dimensions

• Transposing a matrix

• Dividing one matrix by another

The dot product of two vectors results in a:

• Matrix

• Vector

• Scalar

• Tensor

What is the transpose of a matrix?

• Flipping matrix values

• Swapping rows with columns

• Taking the inverse

• Reducing dimensions

What is required for two matrices A and B to be multiplied (i.e., AB)?

• Number of columns in A = number of columns in B

• Number of rows in A = number of rows in B

• Number of columns in A = number of rows in B

• Both must be square matrices

In neural networks, the weight matrices are often:

• Used for storing losses

• Randomly initialized

• Always identity matrices

• Deterministically fixed

What is the identity matrix?

• A matrix full of zeros

• A matrix with all ones

• A square matrix with 1s on the diagonal and 0s elsewhere

• A matrix with mirrored values