Given that F is a linear transformation with standard matrix A =[1 1 31 5 -2and G is a linear transformation with standard matrix B =the standard matrix of F o G.To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want.Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can.112213give

Answered: Image /qna-images/answer/e66de6fc-5297-43ff-9805-414d8d542785.jpg

Answered: Given that F is a linear transformation…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...

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1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
Let TA: 23 be the matrix transformation corresponding to A=[311124]. Find TA(u) and TA(v), where u=[12] v=[32].
a Let T=[3001]. What effect does T have on the gray square in Table 1? b Let S=[1002]. What effect does S have on the gray square in Table 1? c Apply S to the vertices of the square, and then apply T to the result. What is the effect of the combined transformation? d Find the product matrix W=TS. e Apply the transformation W to the square. Compare to you final result in part c. What do you notice?
In Exercises 3-6, prove that the given transformation is a linear transformation, using the definition (or the Remark following Example 3.55). 3.
In Exercises 3-6, prove that the given transformation is a linear transformation, using the definition (or the Remark following Example 3.55). T[xy]=[yx+2y3x4y]
For the linear transformation from Exercise 37, find a T(1,0,2,3), and b the preimage of (0,0,0). Linear Transformation Given by a Matrix In Exercises 33-38, define the linear transformations T:RnRm by T(v)=Av. Find the dimensions of Rn and Rm. A=[012114500131]
Here is a data matrix for a line drawing: D=[012100002440] aDraw the image represented by D. bLet T=[1101]. Calculate the matrix product TD, and draw the image represented by this product. What is the effect of the transformation T? cExpress T as a product of a shear matrix and a reflection matrix. See Problem 2. 2. Verify that multiplication by the given matrix has the indicated effect when applied to the gray square in the table. Use c=3 in the expansion matrix and c=1 in the shear matrix. T1=[1001] Reflection in yaxis T2=[100c] Expansion or contraction in ydirection T3=[10c1] Shear in ydirection
The gray square in Table 1 has the following vertices: [00],[10],[11],[01] Apply each of the three transformations given in Table 1 to these vertices and sketch the result to verify that each transformation has the indicated effect. Use c=2 in the expansion matrix and c=1 in the shear matrix.
Show that the matrix below does not have an LU factorization. A=0110

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Given that F is a linear transformation with standard matrix A = the standard matrix of Fo G 1 [15-2 3 and G is a linear transformation with standard matrix B = 1 22 [13] give