Question 8 Let B = {b1, b2} be a basis for a vector space V. Let T : V > V be a linear transformation with the property that T(b1) 12b1 – 5b2, T(b2) = 9b1 + 462 - a11 a12 Find the matrix [T]&. If [T]g = a21 then the value of @11 is , the value of a12 is , the value of a21 is and the value of a22 is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Question 8
Let B = {b1, b2} be a basis for a vector space V. Let T : V > V be a
linear transformation with the property that
T(b1)
12b1 – 5b2, T(b2) = 9b1 + 462
-
a11 a12
Find the matrix [T]&. If [T]g =
a21
then the value of @11 is
, the value of a12 is
, the value of a21 is
and the value of a22 is
Transcribed Image Text:Question 8 Let B = {b1, b2} be a basis for a vector space V. Let T : V > V be a linear transformation with the property that T(b1) 12b1 – 5b2, T(b2) = 9b1 + 462 - a11 a12 Find the matrix [T]&. If [T]g = a21 then the value of @11 is , the value of a12 is , the value of a21 is and the value of a22 is
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