As was done in class for the focusing direction, derive the transfer matrix for a region of length L with constant defocusing (k < 0) cosh (-kL) M = Fisinh(-KL) cosh(N-RL) sinh (V-kL)/-k cosh(V-kL) -k sinh(-kL Evaluate the determinate of the transfer matrix.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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As was done in class for the focusing direction, derive the transfer matrix for a
region of length L with constant defocusing (k < 0)
cosh (-kL)
V-k sinh (-kL)
sinh (V-kL)/-k
M
cosh(-kL)
Evaluate the determinate of the transfer matrix.
Transcribed Image Text:As was done in class for the focusing direction, derive the transfer matrix for a region of length L with constant defocusing (k < 0) cosh (-kL) V-k sinh (-kL) sinh (V-kL)/-k M cosh(-kL) Evaluate the determinate of the transfer matrix.
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