Diketahui matriks A = [x+y x] B = [1 -1/2x] [Y x-y]. [-2y 3. ] dan A(transpose) = B dengan A(transpose) menyatakan transpose dari A. Nilai x+2y adal
Matematika
RivaFS12
Pertanyaan
Diketahui matriks A = [x+y x] B = [1 -1/2x]
[Y x-y]. [-2y 3. ]
dan A(transpose) = B dengan A(transpose) menyatakan transpose dari A. Nilai x+2y adalah...
A. -2 B.-1 C.0 D.1 E.2
[Y x-y]. [-2y 3. ]
dan A(transpose) = B dengan A(transpose) menyatakan transpose dari A. Nilai x+2y adalah...
A. -2 B.-1 C.0 D.1 E.2
1 Jawaban
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1. Jawaban xkuadratz
[tex] A= \left[\begin{array}{ccc}x+y&x\\y&x-y\end{array}\right] \\ \\ B=\left[\begin{array}{ccc}1&- \frac{x}{2} \\-2y&3\end{array}\right] \\ \\ A^t=B \\ \\ \left[\begin{array}{ccc}x+y&y\\x&x-y\end{array}\right] =\left[\begin{array}{ccc}1&- \frac{x}{2} \\-2y&3\end{array}\right] \\ \\ x+y=1 \\ x-y=3 \\ -----(-) \\ 2y=-2 \\ y=-1 \\ \\ x-1=1 \\ x=2 \\ \\ x+2y=2+2(-1)=0[/tex]