Find the kernel and image of the linear transformation and state whether it is an isomorphism.Remember a linear transformation is an isomorphism if and only if the kernel is trivial (equals the zeroelement only) and the image is everything.T(M) M1 236from R2×2 to R²:x2 x 2

Answered: Find the kernel and image of the linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the kernel and image of the linear transformation and state whether it an isomorphism. Remember a linear transformation is an isomorphism if and only if the kernel is trivial (equals the zero element only) and the image is everything. [1 2] M[1₁²] 3 T(M) = M from R2×2, to R2x2