Question 11 Which of the following is a linear transformation? T:Mnxn+ R such that T(A) = 3det(A) -> T:Mnxn Mnxn such that T(A) = A-1. T:Mpxn+ Mpxn such that T(X) = 3AX-2XA, where A is a fixed n x n matrix. %3D None of the suggested transformations is linear T:Pn Pn-1 such that T(p(x)) =p'(x) – 1, where p'(x) is the derivative of p(x).
Question 11 Which of the following is a linear transformation? T:Mnxn+ R such that T(A) = 3det(A) -> T:Mnxn Mnxn such that T(A) = A-1. T:Mpxn+ Mpxn such that T(X) = 3AX-2XA, where A is a fixed n x n matrix. %3D None of the suggested transformations is linear T:Pn Pn-1 such that T(p(x)) =p'(x) – 1, where p'(x) is the derivative of p(x).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question 11
Which of the following is a linear transformation?
T:Mnxn+ R such that T(A) = 3det(A)
->
T:Mnxn Mnxn such that T(A) = A-1.
T:Mpxn+ Mpxn such that T(X) = 3AX-2XA, where A is a fixed n x n matrix.
%3D
None of the suggested transformations is linear
T:Pn Pn-1
such that T(p(x)) =p'(x) – 1, where p'(x) is the derivative of p(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ebcf715-2fa4-4fc5-a140-feac9a520308%2Fa8eb84a7-d903-4b03-bd6a-f7115c942cf8%2F2911fcj.jpeg&w=3840&q=75)
Transcribed Image Text:Question 11
Which of the following is a linear transformation?
T:Mnxn+ R such that T(A) = 3det(A)
->
T:Mnxn Mnxn such that T(A) = A-1.
T:Mpxn+ Mpxn such that T(X) = 3AX-2XA, where A is a fixed n x n matrix.
%3D
None of the suggested transformations is linear
T:Pn Pn-1
such that T(p(x)) =p'(x) – 1, where p'(x) is the derivative of p(x).
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