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Pertanyaan

Diberikan matriks translasi T 1 ​ = ( − 3 1 ​ ) dan T 2 ​ = ( 2 − 4 ​ ) . b. Tentukan bayangan/peta dari titik R ( − 3 , 5 ) ditranslasi oleh ( T 1 ​ ∘ T 2 ​ ) dan ( T 2 ​ ∘ T 1 ​ ) .

Diberikan matriks translasi  dan .

b. Tentukan bayangan/peta dari titik  ditranslasi oleh  dan 

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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 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses R 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 negative 4 comma 2 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 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses R 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 negative 4 comma 2 close parentheses end cell end table.

Pembahasan

Jadi, .

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses T subscript 1 ring operator T subscript 2 close parentheses open parentheses R close parentheses end cell equals cell T subscript 1 open square brackets T subscript 2 open parentheses negative 3 comma 5 close parentheses close square brackets end cell row blank equals cell T subscript 1 open square brackets open parentheses table row cell negative 3 end cell row 5 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 1 open parentheses negative 1 comma 1 close parentheses end cell row blank equals cell open parentheses table row cell negative 3 end cell row 1 end table close parentheses plus open parentheses table row cell negative 1 end cell row 1 end table close parentheses end cell row blank equals cell open parentheses negative 4 comma 2 close parentheses end cell row cell open parentheses T subscript 2 ring operator T subscript 1 close parentheses open parentheses R close parentheses end cell equals cell T subscript 2 open square brackets T subscript 1 open parentheses negative 3 comma 5 close parentheses close square brackets end cell row blank equals cell T subscript 2 open square brackets open parentheses table row cell negative 3 end cell row 5 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 2 open parentheses negative 6 comma 6 close parentheses end cell row blank equals cell open parentheses table row 2 row cell negative 4 end cell end table close parentheses plus open parentheses table row cell negative 6 end cell row 6 end table close parentheses end cell row blank equals cell open parentheses negative 4 comma 2 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 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses R 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 negative 4 comma 2 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 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses R 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 negative 4 comma 2 close parentheses end cell end table.

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

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