Minta bantuannya yaa buat jawab nomor 16 sama 17. Tolong banget yaa
Matematika
Hanihrns
Pertanyaan
Minta bantuannya yaa buat jawab nomor 16 sama 17. Tolong banget yaa
1 Jawaban
-
1. Jawaban mohammad001
No. 16
Diketahui,
[tex]A=\left[\begin{array}{cc} 1 & 2\\ 0 & 1 \end{array}\right][/tex]
[tex]\left(1+A\right)^{3}=\left(\left[\begin{array}{cc} 1 & 0\\ 0 & 1 \end{array}\right]+\left[\begin{array}{cc} 1 & 2\\ 0 & 1 \end{array}\right]\right)^{3} \\ \left(1+A\right)^{3}=\left[\begin{array}{cc} 2 & 2\\ 0 & 2 \end{array}\right]^{3} \\ \left(1+A\right)^{3}=\left[\begin{array}{cc} 2 & 2\\ 0 & 2 \end{array}\right]\times\left[\begin{array}{cc} 2 & 2\\ 0 & 2 \end{array}\right]\times\left[\begin{array}{cc} 2 & 2\\ 0 & 2 \end{array}\right] \\[/tex]
[tex]\left(1+A\right)^{3}=\left[\begin{array}{cc} 8 & 24\\ 0 & 8 \end{array}\right][/tex]
[tex]\det\left(1+A\right)^{3}=\left|\begin{array}{cc} 8 & 24\\ 0 & 8 \end{array}\right|=8\times8-64\times0=64[/tex]