Ka ini gimana ya tolong dengan caranya ya...

Ka ini gimana ya tolong dengan caranya ya…

Jawaban Terkonfirmasi

Nomor 23.
Rotasi garis 2x-3y = 6 sebesar 90 derajat lawan jarum jam.
$left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}cos90&-sin 90\sin90&cos90end{array}right]left[begin{array}{cc}x\yend{array}right] \\ left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}0&-1\1&0end{array}right]left[begin{array}{cc}x\yend{array}right] \\ left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}-y\xend{array}right]$

Sehingga:
x' = -y menjadi y = -x'
y' = x menjadi x = y'
Didapat:
2x – 3y = 6 menjadi:
2y' – 3(-x') = 6
2y' + 3x' = 6
Aksen dapat dihilangkan.
3x + 2y = 6 [B]

Nomor 24.
Titik dirotasikan 45 derajat lawan jarum jam.
$left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}cos45&-sin 45\sin45&cos45end{array}right]left[begin{array}{cc}x\yend{array}right] \\ left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}frac{1}{2}sqrt{2}&-frac{1}{2}sqrt{2}\frac{1}{2}sqrt{2}&frac{1}{2}sqrt{2}end{array}right]left[begin{array}{cc}4\4end{array}right] \\$

$left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}2sqrt{2}-2sqrt{2}\2sqrt{2}+2sqrt{2}end{array}right] \\ left[begin{array}{cc}x'\y'end{array}right]=left[begin{array}{cc}0\4sqrt{2}end{array}right]$

Pilihan : D

Nomor 25.
Sesuaikan dengan masing-masing matriks:
$A'=left[begin{array}{cc}3&-2\2&1end{array}right]left[begin{array}{cc}1\2end{array}right]=left[begin{array}{cc}4\5end{array}right]$