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ind the kernel and image of the linear transformation and state whether it is an isomorphism. emember a linear transformation is an isomorphism if and only if the kernel is trivial (equals the lement only) and the image is everything. 2 (M) = M[1 ²] - [1 ²] 0 1 M from R2×2 2x2 to R2x

ind the kernel and image of the linear transformation and state whether it is an isomorphism. emember a linear transformation is an isomorphism if and only if the kernel is trivial (equals the lement only) and the image is everything. 2 (M) = M[1 ²] - [1 ²] 0 1 M from R2×2 2x2 to R2x

Advanced Engineering Mathematics
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 is 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. T(M) = [1-6] 2] M 2 2×2 M from R²×2 to R2
Transcribed Image Text: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 zero element only) and the image is everything. T(M) = [1-6] 2] M 2 2×2 M from R²×2 to R2
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