Write down the matrices representing the following transformations. An enlargement with scale factor -12.
Added by Robert J.
Step 1
To represent this transformation as a matrix, we can use the following matrix: $$ \begin{bmatrix} -12 & 0 \\ 0 & -12 \end{bmatrix} $$ Show more…
Show all steps
Close
Your feedback will help us improve your experience
Mohammed Nadhir and 50 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consider the following. A = [[-7, 6], [4, 7]], B = [[12, 11, 10], [-10, 0, 3]]. Use the matrices to perform matrix multiplication. AB
Himanshu G.
Describe each of the linear transformations defined by the matrices in parts (a) through (c) geometrically, as a well-known transformation combined with a scaling. Give the scaling factor in each case. a. $\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$ b. $\left[\begin{array}{rr}3 & 0 \\ -1 & 3\end{array}\right]$ $c_{*}\left[\begin{array}{rr}3 & 4 \\ 4 & -3\end{array}\right]$
Linear Transformations
Linear Transformations in Geometry
Give a geometric interpretation of the linear transformations defined by the matrices in Exercises 16 through 23 Show the effect of these transformations on the letter $\mathbf{L}$ considered in Example $5 .$ In each case, decide whether the transformation is invertible. Find the inverse if it exists and interpret it geometrically. See Exercise 13 $$\left[\begin{array}{rr} 0 & 2 \\ -2 & 0 \end{array}\right]$$
Introduction to Linear Transformations and Their Inverses
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD