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Diketahui matriks dan matriks . Tentukan nilai: b. Transpose matriks atau ()

Diketahui matriks  begin mathsize 14px style A equals open square brackets table row 2 3 row 1 5 end table close square brackets end style dan matriks begin mathsize 14px style B equals open square brackets table row 1 2 0 row 4 5 cell negative 3 end cell row 0 1 6 end table close square brackets end style. Tentukan nilai:

b. Transpose matriks begin mathsize 14px style B end style atau (begin mathsize 14px style B to the power of t end style)

Jawaban:

Transpose matriks begin mathsize 14px style B end style yaitu meletakkan baris pada matriks begin mathsize 14px style B end style menjadi kolom pada matriks begin mathsize 14px style B to the power of t end style.

begin mathsize 14px style B equals open square brackets table row a b c row d e f row g h i end table close square brackets rightwards arrow B to the power of t equals open square brackets table row a d g row b e h row c f i end table close square brackets end style   

Sehingga, transpose matriks begin mathsize 14px style B end style:

  begin mathsize 14px style B equals open square brackets table row 1 2 0 row 4 5 cell negative 3 end cell row 0 1 6 end table close square brackets rightwards arrow B to the power of t equals open square brackets table row 1 4 0 row 2 5 1 row 0 cell negative 3 end cell 6 end table close square brackets end style 

Jadi, transpose matriks begin mathsize 14px style B end style adalah begin mathsize 14px style B to the power of t equals open square brackets table row 1 4 0 row 2 5 1 row 0 cell negative 3 end cell 6 end table close square brackets end style.

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