Roboguru

Nyatakan setiap vektor berikut ini dalam vektor ba...

Nyatakan setiap vektor berikut ini dalam vektor basis.

a. begin mathsize 14px style straight u with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row cell negative 5 end cell end table close parentheses end style

Jawaban:

Perhatikan penjabaran berikut.

Ingat, vektor basis:

begin mathsize 14px style straight a with rightwards harpoon with barb upwards on top equals straight x straight i with rightwards harpoon with barb upwards on top plus straight y straight j with rightwards harpoon with barb upwards on top end style

Maka:

begin mathsize 14px style straight u with rightwards harpoon with barb upwards on top equals 2 straight i with rightwards harpoon with barb upwards on top minus 5 straight j with rightwards harpoon with barb upwards on top end style

Jadi, bentuk vektor basis dari vektor begin mathsize 14px style straight u with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row cell negative 5 end cell end table close parentheses end style adalah begin mathsize 14px style straight u with rightwards harpoon with barb upwards on top equals 2 straight i with rightwards harpoon with barb upwards on top minus 5 straight j with rightwards harpoon with barb upwards on top end style.

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