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Jika a = [ 1 − 1 ​ ] , b = [ 4 − 2 ​ ] dan c = [ − 3 3 ​ ] tentukan d = a + 3 b − 2 c

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S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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vektor .

vektor begin mathsize 14px style d with rightwards arrow on top equals open square brackets table row 19 row cell negative 13 end cell end table close square brackets end style.

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Pembahasan

Diketahui vektor , dan . Ingat kembali: 3 [ a b ​ ] [ a b ​ ] ± [ c d ​ ] ​ = = ​ [ 3 a 3 b ​ ] [ a ± c b ± d ​ ] ​ Tentukan vektor , sehingga diperoleh: Dengan demikian, vektor .

Diketahui vektor begin mathsize 14px style a with rightwards arrow on top equals open square brackets table row 1 row cell negative 1 end cell end table close square brackets end stylebegin mathsize 14px style b with rightwards arrow on top equals open square brackets table row 4 row cell negative 2 end cell end table close square brackets end style dan begin mathsize 14px style c with rightwards arrow on top equals open square brackets table row cell negative 3 end cell row 3 end table close square brackets end style. Ingat kembali:

 

Tentukan vektor begin mathsize 14px style d with rightwards arrow on top equals a with rightwards arrow on top plus 3 b with rightwards arrow on top minus 2 c with rightwards arrow on top end style, sehingga diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell d with rightwards arrow on top end cell equals cell a with rightwards arrow on top plus 3 b with rightwards arrow on top minus 2 c with rightwards arrow on top end cell row blank equals cell open square brackets table row 1 row cell negative 1 end cell end table close square brackets plus 3 open square brackets table row 4 row cell negative 2 end cell end table close square brackets minus 2 open square brackets table row cell negative 3 end cell row 3 end table close square brackets end cell row blank equals cell open square brackets table row 1 row cell negative 1 end cell end table close square brackets plus open square brackets table row 12 row cell negative 6 end cell end table close square brackets minus open square brackets table row cell negative 6 end cell row 6 end table close square brackets end cell row blank equals cell open square brackets table row cell 1 plus 12 minus open parentheses negative 6 close parentheses end cell row cell negative 1 plus open parentheses negative 6 close parentheses minus 6 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 1 plus 12 plus 6 end cell row cell negative 1 minus 6 minus 6 end cell end table close square brackets end cell row blank equals cell open square brackets table row 19 row cell negative 13 end cell end table close square brackets end cell end table end style

Dengan demikian, vektor begin mathsize 14px style d with rightwards arrow on top equals open square brackets table row 19 row cell negative 13 end cell end table close square brackets end style.

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