Berikan 5 contoh soal dan jawaban , penjumlahan dan selisih matriks
Matematika
monicatriwidiastuti
Pertanyaan
Berikan 5 contoh soal dan jawaban , penjumlahan dan selisih matriks
2 Jawaban
-
1. Jawaban Syubbana
1)
(1 2) + (1 2) = (2 4)
(3 4) (3 4) (6 8)
2)
(9 8) - (5 4) = (4 4)
(7 6) (3 2) (4 4)
3)
(9 8) + (1 1) = (10 9)
(6 7) (2 2) (8 9)
4)
(9 8) - (1 1) = (8 7)
(6 7) (3 3) (3 4)
5)
(5 4) + (6 3) = (11 7)
(4 5) (2 2) ( 6 7)
itu contoh penjumlahan dan selisih matrik dg ordo 2 x 2 -
2. Jawaban 5dregensleyer
penjumlahan dan pengurangan matrik bisa dilakukan jika ordo-ordonya sama.
[tex] \bigstar\ \ \ \ \boxed{\boxed{\bold{penjumlahan\ matriks}}}\ \ \ \ \bigstar[/tex]
⇔ contoh soal 1 ⇔
tentukan jumlah A + P
[tex]$\begin{align} A= \left[\begin{array} {ccc}1&2&3\end{array}\right]\ dan\ P = \left[\begin{array}{ccc}1&2&3\end{array}\right] \end[/tex]
jawabannya
[tex]$\begin{align} A+P &= \left[\begin{array} {ccc}1&2&3\end{array}\right]\ + \left[\begin{array}{ccc}1&2&3\end{array}\right] \\&= \left[\begin{array}{ccc}(1+1)\ ( 2+2)\ (3+3)\end{array}\right]\\&= \left[\begin{array}{ccc}2& 4& 3 \end{array}\right] \end[/tex]
⇔ contoh soal 2
Tentukan jumlah A + B
[tex]$\begin{align} A= \left[\begin{array}{ccc}2&1\\4&5\end{array}\right] \ dan\ B= \left[\begin{array}{ccc}1&2\\4&5\end{array}\right] \end[/tex]
jawabannya
[tex]$\begin{align} A+B&= \left[\begin{array}{ccc}2&1\\4&5\end{array}\right] \ + \left[\begin{array}{ccc}1&2\\4&5\end{array}\right]\\&= \left[\begin{array}{ccc}(2+1)&(1+2)\\(4+4)&(5+5)\end{array}\right] \\&= \left[\begin{array}{ccc}3&3\\8&10\end{array}\right] \end[/tex]
⇔ contoh soal 3 ⇔
Tentukan jumlah A + P
[tex]$\begin{align} A= \left[\begin{array} {ccc}1&2&3\\3&2&1\\1&3&3\end{array}\right]\ dan\ P = \left[\begin{array}{ccc}1&2&3\\4&5&6\\1&1&1\end{array}\right] \end[/tex]
Jawabannya
[tex]$\begin{align} A\ +\ P &= \left[\begin{array} {ccc}1&2&3\\3&2&1\\1&3&3\end{array}\right]\ +\ \left[\begin{array}{ccc}1&2&3\\4&5&6\\1&1&1\end{array}\right] \\ &= \left[\begin{array}{ccc}(1+1)&(2+2)&(3+3)\\(3+4)&(2+5)&(1+6)\\(1+1)&(3+1)&(3+1)\end{array}\right] \\&= \left[\begin{array}{ccc}2&4&9\\7&7&7\\2&4&4\end{array}\right] \end[/tex]
[tex] \bigstar\ \ \ \ \boxed{\boxed{\bold{pengurangan\ matriks}}}\ \ \ \ \bigstar[/tex]
⇔ contoh soal 4 ⇔
tentukan pengurangan A-B
[tex]$\begin{align} A= \left[\begin{array} {ccc}9&7&3\end{array}\right]\ dan\ P = \left[\begin{array}{ccc}4&1&1\end{array}\right] \end[/tex]
jawabannya
[tex]$\begin{align} A-B &= \left[\begin{array} {ccc}9&7&3\end{array}\right]\ -\left[\begin{array}{ccc}4&1&1\end{array}\right]\\&= \left[\begin{array}{ccc}(9-4)&(7-1)&(3-1)\end{array}\right] \\&= \left[\begin{array}{ccc}5&6&2\end{array}\right] \end[/tex]
⇔ contoh soal 5⇔
tentukan pengurangan A-B
[tex]$\begin{align} A= \left[\begin{array}{ccc}-2&3\\6&-1\end{array}\right] \ dan\ B= \left[\begin{array}{ccc}6&3\\2&-7\end{array}\right] \end[/tex]
jawabnnya
[tex]$\begin{align} A-B &= \left[\begin{array}{ccc}-2&3\\6&-1\end{array}\right] \ - \left[\begin{array}{ccc}6&3\\2&-7\end{array}\right] \\&=\left[\begin{array}{ccc}(-2-6)&(3-3)\\(6-2)&(-1-(-7))\end{array}\right]\\&=\left[\begin{array}{ccc}-8&0\\4&6\end{array}\right]\end[/tex]
⇔ contoh soal 6 ⇔
tentukan hasli dari C+A-B
[tex]$\begin{align} A= \left[\begin{array} {ccc}1&2&3\\3&2&5\\1&3&-3\end{array}\right]\ dan\ B = \left[\begin{array}{ccc}1&2&3\\4&5&6\\1&1&1\end{array}\right]\ dan\ C= \left[\begin{array}{ccc}-3&2&3\\9&-1&6\\7&2&2\end{array}\right] \end[/tex]
jawabannya
[tex]$\begin{align} B+ A-C &=\left[\begin{array}{ccc}-3&2&3\\9&-1&6\\7&2&2\end{array}\right]+\left[\begin{array} {ccc}1&2&3\\3&2&5\\1&3&-3\end{array}\right]\ - \left[\begin{array}{ccc}1&2&3\\4&5&6\\1&1&1\end{array}\right]\ \\&= \left[\begin{array}{ccc}(-3+1-1)&(2+2-2)&(3+3-3)\\(9+3-4)&(-1+2-5)&(6+5-6)\\(7+1-1)&(-2+3-1)&(2-3-1)\end{array}\right] \\&= \left[\begin{array}{ccc}-3&2&3\\8&-4&5\\7&0-2&9\end{array}\right] \end[/tex]Pertanyaan Lainnya