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Let ?:ℝ2→ℝ be defined by ?(〈?,?〉)=7?−8?. Is ? a linear transformation? ?(〈?1,?1〉+〈?2,?2〉)=. (Enter ?1 as ??,...

Let ?:ℝ2→ℝ be defined by ?(〈?,?〉)=7?−8?. Is ? a linear transformation?

?(〈?1,?1〉+〈?2,?2〉)=. (Enter ?1 as ??, etc.)

?(〈?1,?1〉)+?(〈?2,?2〉)=

Does ?(〈?1,?1〉+〈?2,?2〉)=?(〈?1,?1〉)+?(〈?2,?2〉) for all 〈?1,?1〉,〈?2,?2〉∈ℝ2?

?(?〈?,?〉)=  

?(?(〈?,?〉))=

Does ?(?〈?,?〉)=?(?(〈?,?〉)) for all ?∈ℝ and all 〈?,?〉∈ℝ2?

Is ? a linear transformation?

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