Consider a matrix A of the form A =a c b da b b afor allfor all, wherea2 + b2 = 1 and a

Chapter 3, Problem 66

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QUESTION:

Consider a matrix A of the form A =a c b da b b afor allfor all, wherea2 + b2 = 1 and a ^ 1. Find the matrix B of the linear transformation T (jc) = Ax with respect to the basis. Interpret the answer geometrically.

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QUESTION:

Consider a matrix A of the form A =a c b da b b afor allfor all, wherea2 + b2 = 1 and a ^ 1. Find the matrix B of the linear transformation T (jc) = Ax with respect to the basis. Interpret the answer geometrically.

ANSWER:

Step 1 of 3

To find:

A matrix  of the linear transformation  with respect to the basis .

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