Matrix Representations
Description: Matrix Representations Quiz | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: linear algebra matrix representations |
Which of the following matrices represents a rotation of 45 degrees about the origin in the $xy$-plane?
Which of the following matrices represents a reflection about the $x$-axis?
Which of the following matrices represents a shear transformation that maps the line $y = x$ to the line $y = 2x$?
Which of the following matrices represents a projection onto the $x$-axis?
Which of the following matrices represents a change of basis from the standard basis to the basis $${\begin{bmatrix} 1 \ 2 \end{bmatrix}, \begin{bmatrix} 3 \ 4 \end{bmatrix}}$$?
Which of the following matrices represents the inverse of the matrix $$\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$$?
Which of the following matrices represents the transpose of the matrix $$\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$?
Which of the following matrices represents the determinant of the matrix $$\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$$?
Which of the following matrices represents the trace of the matrix $$\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$$?
Which of the following matrices represents the rank of the matrix $$\begin{bmatrix} 1 & 2 \ 3 & 4 \ 5 & 6 \end{bmatrix}$$?
Which of the following matrices represents the null space of the matrix $$\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$?
Which of the following matrices represents the column space of the matrix $$\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$?
Which of the following matrices represents the row space of the matrix $$\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$?
Which of the following matrices represents the eigenvalues of the matrix $$\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$$?
Which of the following matrices represents the eigenvectors of the matrix $$\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$$?