tolong sertakan jalan/proses penghitungannya juga
tentukan jumlah matrik digambar tsb
Dik:
[tex]A = \left[\begin{array}{ccc}-4&7\\-3&5\\\end{array}\right][/tex] [tex]B = \left[\begin{array}{ccc}-5&10\\2&-4\\\end{array}\right][/tex]
Dit:
1) A + B
2) A - B
3) A.B
Jawab:
1) A+B
[tex]= \left[\begin{array}{ccc}-4&7\\-3&5\\\end{array}\right] + \left[\begin{array}{ccc}-5&10\\2&-4\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}(-4)+(-5)&7+10\\(-3)+2&5+(-4)\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}-9&17\\-1&1\\\end{array}\right][/tex]
2) A - B
[tex]= \left[\begin{array}{ccc}-4&7\\-3&5\\\end{array}\right] - \left[\begin{array}{ccc}-5&10\\2&-4\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}(-4)-(-5)&7-10\\(-3)-2&5-(-4)\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}(-4)+5&7-10\\(-3)-2&5+4\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}1&-3\\-5&9\\\end{array}\right][/tex]
3) A.B
[tex]= \left[\begin{array}{ccc}-4&7\\-3&5\\\end{array}\right] . \left[\begin{array}{ccc}-5&10\\2&-4\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}(-4)x(-5)+(7x2)&(-4)x10+7x(-4)\\(-3)x(-5)+(5x2)&(-3)x10+5x(-4)\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}20+14&(-40)+(-28)\\15+10&(-30)+(-20)\\\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}34&-68\\25&-50\\\end{array}\right][/tex]
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