4.) Prove that the following statements are true when A and B are square matrices of order n and c is a scalar. a.) Tr(A+ B) = Tr(A) + Tr(B) %3D b.) Tr(cA) = cTr(A)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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4.) Prove that the following statements are true when A and B are square matrices of order n and c is a scalar.
a.) Tr(A+ B) = Tr(A) + Tr(B)
b.) Tr(cA) = cTr(A)
[2
5.) If f (x) = x² – 5x + 2 and A =
[4
then find f (A)
Transcribed Image Text:4.) Prove that the following statements are true when A and B are square matrices of order n and c is a scalar. a.) Tr(A+ B) = Tr(A) + Tr(B) b.) Tr(cA) = cTr(A) [2 5.) If f (x) = x² – 5x + 2 and A = [4 then find f (A)
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