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Pertanyaan

Diketahui matriks-matriks: b. Jika P t = Q , carilah nilai a , b , c , d , e , dan f .

Diketahui matriks-matriks: 

begin mathsize 14px style P equals open square brackets table row cell 2 a end cell cell a minus b end cell row cell c minus b end cell cell d plus c end cell row cell e minus 1 half d end cell cell e plus 2 f end cell end table close square brackets space dan space Q equals open square brackets table row 4 2 0 row 1 5 1 end table close square brackets end style 

b. Jika , carilah nilai .

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H. Hermawan

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Jawaban terverifikasi

Jawaban

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 table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px b end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px c end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px d end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px e end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px dan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px f end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 0 end table.

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Pembahasan

Tranpose matriks adalah mengubah baris menjadi kolom dan kolom menjadi baris. Kemudian dilakukan persamaan matriks sesuai dengan posisi elemen matriks. Jadi, .

Tranpose matriks adalah mengubah baris menjadi kolom dan kolom menjadi baris. Kemudian dilakukan persamaan matriks sesuai dengan posisi elemen matriks.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P to the power of t end cell equals Q row cell open square brackets table row cell 2 a end cell cell c minus b end cell cell e minus 1 half d end cell row cell a minus b end cell cell d plus c end cell cell e plus 2 f end cell end table close square brackets end cell equals cell open square brackets table row 4 2 0 row 1 5 1 end table close square brackets end cell row blank blank blank row cell 2 a end cell equals 4 row a equals 2 row blank blank blank row cell a minus b end cell equals 1 row cell 2 minus b end cell equals 1 row b equals 1 row blank blank blank row cell c minus b end cell equals 2 row cell c minus 1 end cell equals 2 row c equals 3 row blank blank blank row cell d plus c end cell equals 5 row cell d plus 3 end cell equals 5 row d equals 2 row blank blank blank row cell e minus 1 half d end cell equals 0 row cell e minus 1 half open parentheses 2 close parentheses end cell equals 0 row cell e minus 1 end cell equals 0 row e equals 1 row blank blank blank row cell e plus 2 f end cell equals 1 row cell 1 plus 2 f end cell equals 1 row cell 2 f end cell equals 0 row f equals 0 end table end style

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px a end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px b end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px c end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px d end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px e end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px dan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px f end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 0 end table.

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