Find the matrix A of the linear transformation T(M) = [[2, 1], [0, 7]] M [[2, 1], [0, 7]]^-1 fro

Name: Find the matrix A of the linear transformation T(M) = [[2, 1], [0, 7]] M [[2, 1], [0, 7]]^-1 from U^2x2 to U^2x2 (upper triangular matrices) with respect to the standard basis for U^2x2 given by [[1, 0], [0, 0]], [[0, 1], [0, 0]], [[0, 0], [0, 1]] .
Uploaded: 2023-11-14T00:08:42-08:00
Duration: 7 min 23 s
Channel: Vincenzo Zaccaro
Description: Find the matrix A of the linear transformation T(M) = [[2, 1], [0, 7]] M [[2, 1], [0, 7]]^-1 from U^2x2 to U^2x2 (upper triangular matrices) with respect to the standard basis for U^2x2 given by [[1, 0], [0, 0]], [[0, 1], [0, 0]], [[0, 0], [0, 1]] .

Question

Sam Stansfield · Accepted Answer

1. We are given a linear transformation $T: U_{2x2} to U_{1x2}$, where $U_{2x2}$ is the space o

Question

Find the matrix A of the linear transformation T(M) = [[2, 1], [0, 7]] M [[2, 1], [0, 7]]^-1 from U^2x2 to U^2x2 (upper triangular matrices) with respect to the standard basis for U^2x2 given by { [[1, 0], [0, 0]], [[0, 1], [0, 0]], [[0, 0], [0, 1]] }.

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