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Diketahui vektor a ⇀ = ⎝ ⎛ ​ 2 − 1 4 ​ ⎠ ⎞ ​ , b ⇀ = ⎝ ⎛ ​ 2 n n − 1 ​ ⎠ ⎞ ​ dan 2 1 ​ a ⇀ + 3 ⎝ ⎛ ​ 3 6 11 ​ − 1 ​ ⎠ ⎞ ​ = b ⇀ . b. Bentuklah a ⇀ dan b ⇀ dalam bentuk vektor basis!

Diketahui vektor ,  dan .

b. Bentuklah  dan  dalam bentuk vektor basis! 

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Vektor basis. vektor basis Kesamaan 2 vektor. Nilai maka: Vketor basis:

Vektor basis.

a with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row cell negative 1 end cell row 4 end table close parentheses 

vektor basis a with rightwards harpoon with barb upwards on top equals 2 i with rightwards harpoon with barb upwards on top minus j with rightwards harpoon with barb upwards on top plus 4 k with rightwards harpoon with barb upwards on top 

Kesamaan 2 vektor.

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half straight a with rightwards harpoon with barb upwards on top plus 3 open parentheses table row 3 row cell 11 over 6 end cell row cell negative 1 end cell end table close parentheses end cell equals cell straight b with rightwards harpoon with barb upwards on top end cell row cell 1 half times open parentheses table row 2 row cell negative 1 end cell row 4 end table close parentheses plus open parentheses table row 9 row cell 11 over 2 end cell row cell negative 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 1 row cell negative 1 half end cell row 2 end table close parentheses plus open parentheses table row 9 row cell 11 over 2 end cell row cell negative 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row cell 1 plus 9 end cell row cell negative 1 half plus 11 over 2 end cell row cell 2 minus 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 10 row cell 10 over 2 end cell row cell negative 1 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 10 row 5 row cell negative 1 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row straight n equals 5 end table 

Nilai straight n equals 5 maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight b with rightwards harpoon with barb upwards on top end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 times 5 end cell row 5 row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 10 row 5 row cell negative 1 end cell end table close parentheses end cell end table 

Vketor basis: b with rightwards harpoon with barb upwards on top equals 10 i with rightwards harpoon with barb upwards on top plus 5 j with rightwards harpoon with barb upwards on top minus k with rightwards harpoon with barb upwards on top 

 

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