Which of the following transformations are linear? Select all of the lineartransformations. There may be more than one correct answer. Be sure you can justifyyour answers.Α. ΤA)det(A) from R 4x4to R53B. T(A) = SAS-1 from R2x2to R2x2, where S7С. Т(А) —D А-67 6A from R42x2to R 2x233D. T(A) =-78A from R2X5 to R2x5E. T(A) =trace(A) from R´×6to R-322x2F. T(A) = ASA-l from R2to R2X2, where S6.

Answered: Image /qna-images/answer/468d90fd-645e-4d12-9542-9d8c4789bbe1.jpg

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can just your answers. A. T(A) = det(A) from R*X4 to R 4x4 5 B. T(A) = SAS-1 from R2X2 to R2X2, where S = 3 -8 c. TUA) = A 1-: a 7 7 A from R2x2 4 to R2x2 3 3 D. T(A) = -7 8 A from R2X5 to R2×5 E. T(A) = trace(A) from R ,6×6 to R F. T(A) = ASA¬1 from R2x2 to R2x2, where S = 2 6

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can just your answers. A. T(A) = det(A) from R*X4 to R 4x4 5 B. T(A) = SAS-1 from R2X2 to R2X2, where S = 3 -8 c. TUA) = A 1-: a 7 7 A from R2x2 4 to R2x2 3 3 D. T(A) = -7 8 A from R2X5 to R2×5 E. T(A) = trace(A) from R ,6×6 to R F. T(A) = ASA¬1 from R2x2 to R2x2, where S = 2 6

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 48E: For the linear transformation T:R2R2 given by A=[abba] find a and b such that T(12,5)=(13,0).

See similar textbooks

Related questions

Q: 10. f(x)=x -2 wx) ajx a = h 3D k= Describe transformation:

A: NOTE: Refresh your page if you can't see any equations. . here the base function is let the…

Q: 23 foa I. Directions: Complete the table with the correct value. No. Radius Diameter Ex. 2 ft. 4 ft.…

Q: (b) Suppose now that you have another dataset comprising a set of observations on a response…

A: There are 6 methods for transformation For our data, It is wedge shaped.

Q: b. Reflected over the x-axis, vertical compression of 2/3 and moved up 5

A: Here we have to write the equation of quadratic transformation of " Reflected over the x-axis,…

Q: 2. Find the solution of the following system of differential equations: x' (t) = 5x(t) — 9y(t)…

Q: X-3 X+1 Rf Dfx

Q: Find the value for A, K, H. And describe the transformation

A: Given,

Q: what are the transformations of y=6/x-2 -3

A: Y= aF(x-h)+K Here h and k represents horizontal and vertical shifts according to their signs a…

Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

Q: 3. 3.75

Q: Use the "Big Idea" of transformations to find equations for these two functions.

Q: Vx² + 4x – 5 dr. A secant substitution Evaluate x + 2

A: Consider the following definite integral: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14x+22-9x+2dx…

Q: List the transformations, in order, needed to get from y = |x| to y = -2|x – 1| + 3.

Q: How to work out the slop on y= 3x -4

A: Given equation is : y=3x-4y=3x+-4 .........1 General equation of slope intercept form is ,…

Q: Answer this linear algebra question with all the steps.

A: We will proceed with the question in two directions.Explanation:

Q: Below is a graph produced in lab by a student trying to determine the rate of evaporation of water…

Q: .2 y = 4 - x² and x +y = 2.

Q: Which one is the correct transformation?

Q: 2 2 Find X0.95 for X² distribution with 10 degrees of freedom. 2 X0.95 (Round the answer to 3…

A: Given, the degrees of freedom is 10

Q: Describe the transformations of Y=-5sin(2x) And Y=2cos(x-45)+3

A: We have describe the transformation for the function with respect to sin(x) and cos(x).

Q: The i-component of +t is

Q: 2x - 1 5. Find Lt x + 1 X-2 8个x

A: Introduction :

Q: Find the product. 1. 5 x 5 x 5 2. (-3) × (-3) × (-3)

A: The product of two positive numbers is a positive number. The product of two negative numbers is a…

Q: Q.2 a. Find the Domain for y- /4 -x +

Question

Which of the following transformations are linear? Select all of the linear
transformations. There may be more than one correct answer. Be sure you can justify
your answers.
Α. ΤA)
det(A) from R 4x4
to R
5
3
B. T(A) = SAS-1 from R2x2
to R2x2, where S
7
С. Т(А) —D А
-6
7 6
A from R
4
2x2
to R 2x2
3
3
D. T(A) =
-7
8
A from R2X5 to R2x5
E. T(A) =
trace(A) from R´×6
to R
-3
2
2x2
F. T(A) = ASA-l from R2
to R2X2, where S
6.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find T(7,2).
Suppose that the relationship between variables C and D is D=eC. Transform this relationship to linear form, and determine the slope and y intercept of the linear transformation.
can you answer?
Find the linearization of y = 3xe²x-10 at x = 5.
дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³
. Find the equation of the line passing through the point (7, 2) andperpendicular to the line 5y = 9 – 2x
ss:930 (0620) { Question 4 of 20 Find an equation of the line perpendicular to x + 3y = -17 and passing through (-8,-4). Express the equation in standard form. Which of the following is the equation of a line perpendicular to x + 3y = -17 and passing through (-8,-4)? OA. 3x-y = -20 O B. 3x-y=20 OC. x+3y=20 O D. x + 3y = -20 7
Determine a mapping of the form (x, y)) from y = f(x) for each of the following. y = 3f(2x) y=-11 7x y=-2r(-3x)
Consider the linearizable functions as follows. Find new transformed variables (x, y, B or B as you need) to linearize the functions below. 21 y= Biz1+ Bo.
C. form ax + by = c. 1. Passes through (3, 2) and is parallel to 5x + 3y = 2 2. Passes through (-3, -2) and is perpendicular to 2x + y = 6 3. Passes through (2, -3) and is perpendicular to y= - 3 4. Passes through (-2,-5) and is parallel to x+y = 10 5. Has an x-intercept of and is perpendicular to x-3y 6 6. Passes through (-1, -4) and is parallel to the y-axis 7. Passes through (-3, 5) and is perpendicular to the x-axis 8. Has a y-intercept of - and is parallel to 2x - 5y 15 9. Passes through (3, 0) and is parallel to 4x = 8y +10 10. Passes through .0) and is perpendicular to 2x - 5y = 15
help
Eliminate the arbitrary constant. y=Ax5+ Bx³ A 7xy"-x²y + 15y=0 B C x²y '- 7xy "+ 15y = 0 x²y "- 7xy - 15y = 0 Dx²y"-7xy + 15y=0