A mapping 7: R² → R² is expressed by the transformation matrix below, A = 2 5 -3 7

Question

A mapping 7: R² → R² is expressed by the transformation matrix below,

A       =  2      5
                   -3      7 
(a) State the condition for an orthogonal transformation. Is T an orthogonal transformation ? Give your reason.

(b) Find the image of the given vector below using the transformation matrix A.

U = 5
     -1

Kunduz · Accepted Answer

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