Linear Transformations and Matrices
Description: This quiz covers the concepts of linear transformations and matrices, including their properties, operations, and applications. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: linear transformations matrices eigenvalues eigenvectors matrix operations |
Which of the following is a linear transformation?
What is the matrix representation of the linear transformation f(x) = 2x - 1?
What are the eigenvalues of the matrix [[2, 1], [-1, 2]]?
Which of the following matrices is diagonalizable?
What is the determinant of the matrix [[1, 2], [3, 4]]?
Which of the following matrices is invertible?
What is the null space of the matrix [[1, 2], [3, 4]]?
Which of the following is an orthogonal matrix?
What is the rank of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
Which of the following is a singular matrix?
What is the trace of the matrix [[1, 2], [3, 4]]?
Which of the following matrices is symmetric?
What is the product of the matrices [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?
Which of the following is an elementary matrix?
What is the adjoint of the matrix [[1, 2], [3, 4]]?