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Diberikan matriks translasi T1​=(−31​) dan T2​=(2−4​). c. Tentukan bayangan/peta dari titik T(3,1) ditranslasi oleh (T1​∘T1​) dan (T2​∘T2​).

Pertanyaan

Diberikan matriks translasi begin mathsize 14px style T subscript 1 equals open parentheses table row cell negative 3 end cell row 1 end table close parentheses end style dan begin mathsize 14px style T subscript 2 equals open parentheses table row 2 row cell negative 4 end cell end table close parentheses end style.

c. Tentukan bayangan/peta dari titik begin mathsize 14px style T left parenthesis 3 comma 1 right parenthesis end style ditranslasi oleh begin mathsize 14px style left parenthesis T subscript 1 ring operator T subscript 1 right parenthesis end style dan begin mathsize 14px style left parenthesis T subscript 2 ring operator T subscript 2 right parenthesis end style

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T subscript 1 ring operator T subscript 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 comma 3 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T subscript 2 ring operator T subscript 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 7 comma negative 7 close parentheses end cell end table.

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses T subscript 1 ring operator T subscript 1 close parentheses open parentheses T close parentheses end cell equals cell T subscript 1 open square brackets T subscript 1 open parentheses 3 comma 1 close parentheses close square brackets end cell row blank equals cell T subscript 1 open square brackets open parentheses table row 3 row 1 end table close parentheses plus open parentheses table row cell negative 3 end cell row 1 end table close parentheses close square brackets end cell row blank equals cell T subscript 1 open parentheses 0 comma 2 close parentheses end cell row blank equals cell open parentheses table row 0 row 2 end table close parentheses plus open parentheses table row 3 row 1 end table close parentheses end cell row blank equals cell open parentheses 3 comma 3 close parentheses end cell row cell open parentheses T subscript 2 ring operator T subscript 2 close parentheses open parentheses T close parentheses end cell equals cell T subscript 2 open square brackets T subscript 2 open parentheses 3 comma 1 close parentheses close square brackets end cell row blank equals cell T subscript 2 open square brackets open parentheses table row 3 row 1 end table close parentheses plus open parentheses table row 2 row cell negative 4 end cell end table close parentheses close square brackets end cell row blank equals cell T subscript 2 open parentheses 5 comma negative 3 close parentheses end cell row blank equals cell open parentheses table row 5 row cell negative 3 end cell end table close parentheses plus open parentheses table row 2 row cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses 7 comma negative 7 close parentheses end cell end table 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T subscript 1 ring operator T subscript 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 comma 3 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T subscript 2 ring operator T subscript 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses T close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 7 comma negative 7 close parentheses end cell end table.

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Duberikan T1​=(32​) dan T2​=(−45​). Bayangan/peta dari K(a,b) oleh (T2​∘T1​)(K) adalah K (1,14). Koordinat titik K adalah ....

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