3) Consider the linear transformation T such that in the standard basis its matrix is [2 1 3 A = 1 2 1 101 Take the basis B of R" given by the rows of [1 0 1] 0 1 1 1 10 a) What is the matrix B of T in the basis B? b) Compute a 3 x 3 matrix C such that B = CAC,

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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3) Consider the linear transformation T such that in the standard basis its matrix is
[2 1 3]
A = 1 2 1
101
Take the basis B of R given by the rows of
[1 0 1
0 1 1
110
a) What is the matrix B of T in the basis B?
b) Compute a 3 x 3 matrix C such that B = CAC,
Transcribed Image Text:3) Consider the linear transformation T such that in the standard basis its matrix is [2 1 3] A = 1 2 1 101 Take the basis B of R given by the rows of [1 0 1 0 1 1 110 a) What is the matrix B of T in the basis B? b) Compute a 3 x 3 matrix C such that B = CAC,
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