Question 1
Which of the following is a fundamental property of a scalar in linear algebra?
Question 2
What is the result of the scalar multiplication of a vector $ \mathbf{v} = \begin{pmatrix} 2 \\ 5 \end{pmatrix} $ by the scalar $ 3 $?
Question 3
What is the identity matrix of size $ 2 \times 2 $?
Question 4
Which of the following best describes the determinant of a square matrix?
Question 5
For a square matrix $ \mathbf{A} $, if its determinant is zero (i.e., $ \text{det}(\mathbf{A}) = 0 $), what does this imply about the matrix?
