(Solution) - Find a matrix representative for the linear functions a L R2 -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

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Find a matrix representative for the linear functions
(a) L: R2 ? R2 that maps ei to

and e2 to
(b) M: R2 ? R2 that takes e1 to
and e2 to
and
(c) N: R2 ? R2 that takes
and
(d) Explain why M = N ? L.
(e) Verify part (d) by multiplying the matrix representatives in the proper order.