Presentasi sedang didownload. Silahkan tunggu

Presentasi sedang didownload. Silahkan tunggu

Guru smk negeri 1 sedan kab. Rembang jateng

Presentasi serupa


Presentasi berjudul: "Guru smk negeri 1 sedan kab. Rembang jateng"β€” Transcript presentasi:

1 Guru smk negeri 1 sedan kab. Rembang jateng
INVERS MATRIKS ORDO 2 X 2 Oleh: Lilik Herawati, S.Pd Guru smk negeri 1 sedan kab. Rembang jateng

2 Materi Prasyarat: 𝐴 = π‘Ž 𝑏 𝑐 𝑑 =π‘Žπ‘‘βˆ’π‘π‘ 𝐴 =0 β‡’ matriks singular
𝐴 = π‘Ž 𝑏 𝑐 𝑑 =π‘Žπ‘‘βˆ’π‘π‘ 𝐴 =0 β‡’ matriks singular π‘Ž 0 = tidak didefinisikan π‘Ž 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔 β„Ž 𝑖 𝑗 = π‘Žπ‘’+π‘β„Ž π‘Žπ‘“+𝑏𝑖 π‘Žπ‘”+𝑏𝑗 𝑐𝑒+π‘‘β„Ž 𝑐𝑓+𝑑𝑖 𝑐𝑔+𝑑𝑗

3 Invers Matriks Ordo 2 x 2 Jika A = π‘Ž 𝑏 𝑐 𝑑 dan B = 1 π‘Žπ‘‘βˆ’π‘π‘ 𝑑 βˆ’π‘ βˆ’π‘ π‘Ž maka AB = π‘Ž 𝑏 𝑐 𝑑 1 π‘Žπ‘‘βˆ’π‘π‘ 𝑑 βˆ’π‘ βˆ’π‘ π‘Ž AB = 1 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ βˆ’π‘Žπ‘+π‘Žπ‘ π‘π‘‘βˆ’π‘π‘‘ βˆ’π‘π‘+π‘‘π‘Ž AB = 1 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ 0 0 π‘Žπ‘‘βˆ’π‘π‘ AB = π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ 0 π‘Žπ‘‘βˆ’π‘π‘ 0 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ AB =

4 Invers Matriks Ordo 2 x 2 Jika A = π‘Ž 𝑏 𝑐 𝑑 dan B = 1 π‘Žπ‘‘βˆ’π‘π‘ 𝑑 βˆ’π‘ βˆ’π‘ π‘Ž maka BA = 1 π‘Žπ‘‘βˆ’π‘π‘ 𝑑 βˆ’π‘ βˆ’π‘ π‘Ž π‘Ž 𝑏 𝑐 𝑑 BA = 1 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ π‘π‘‘βˆ’π‘π‘‘ βˆ’π‘Žπ‘+π‘Žπ‘ βˆ’π‘π‘+π‘Žπ‘‘ BA = 1 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ 0 0 π‘Žπ‘‘βˆ’π‘π‘ BA = π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ 0 π‘Žπ‘‘βˆ’π‘π‘ 0 π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ π‘Žπ‘‘βˆ’π‘π‘ BA =

5 Jika AB = BA = I maka B disebut invers dari matriks A
Simbol dari A invers: 𝑨 βˆ’πŸ Jadi jika A = π‘Ž 𝑏 𝑐 𝑑 dan 𝑨 βˆ’πŸ = 1 π‘Žπ‘‘βˆ’π‘π‘ 𝑑 βˆ’π‘ βˆ’π‘ π‘Ž Matriks Singular  Tidak memiliki invers Contoh: Tentukan invers dari matriks A = βˆ’2 βˆ’4 ! Jawab 𝑨 =πŸ‘. βˆ’πŸ’ βˆ’πŸ“. βˆ’πŸ 𝑨 = = -2 𝑨 βˆ’πŸ = 𝟏 βˆ’πŸ βˆ’4 βˆ’5 2 3 𝑨 βˆ’πŸ = βˆ’πŸ’ βˆ’πŸ βˆ’πŸ“ βˆ’πŸ 𝟐 βˆ’πŸ πŸ‘ βˆ’πŸ = 𝟐 πŸ“ 𝟐 βˆ’πŸ βˆ’ πŸ‘ 𝟐


Download ppt "Guru smk negeri 1 sedan kab. Rembang jateng"

Presentasi serupa


Iklan oleh Google