Aljabar Linear Contoh

Soal-soal Populer
Aljabar Linear
Tentukan Hasil dari 5 Kali Matriks Identitas 5x5 5
5
Langkah 1
Matriks satuan atau matriks satuan dengan ordo 5 adalah matriks persegi 5×5 dengan bilangan satu di diagonal utama dan nol di elemen lainnya.
[1000001000001000001000001]
Langkah 2
Multiply the scalar 5 by the identity matrix.
5[1000001000001000001000001]
Langkah 3
Sederhanakan.
Ketuk untuk lebih banyak langkah...
Langkah 3.1
Kalikan 5 dengan setiap elemen di dalam matriks tersebut.
[5⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2
Sederhanakan setiap elemen dalam matriks.
Ketuk untuk lebih banyak langkah...
Langkah 3.2.1
Kalikan 5 dengan 1.
[55⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.2
Kalikan 5 dengan 0.
[505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.3
Kalikan 5 dengan 0.
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.4
Kalikan 5 dengan 0.
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.5
Kalikan 5 dengan 0.
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.6
Kalikan 5 dengan 0.
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.7
Kalikan 5 dengan 1.
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.8
Kalikan 5 dengan 0.
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.9
Kalikan 5 dengan 0.
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.10
Kalikan 5 dengan 0.
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.11
Kalikan 5 dengan 0.
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.12
Kalikan 5 dengan 0.
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.13
Kalikan 5 dengan 1.
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.14
Kalikan 5 dengan 0.
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.15
Kalikan 5 dengan 0.
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.16
Kalikan 5 dengan 0.
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.17
Kalikan 5 dengan 0.
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.18
Kalikan 5 dengan 0.
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.19
Kalikan 5 dengan 1.
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.20
Kalikan 5 dengan 0.
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
Langkah 3.2.21
Kalikan 5 dengan 0.
[5000005000005000005005⋅05⋅05⋅05⋅1]
Langkah 3.2.22
Kalikan 5 dengan 0.
[50000050000050000050005⋅05⋅05⋅1]
Langkah 3.2.23
Kalikan 5 dengan 0.
[500000500000500000500005⋅05⋅1]
Langkah 3.2.24
Kalikan 5 dengan 0.
[5000005000005000005000005⋅1]
Langkah 3.2.25
Kalikan 5 dengan 1.
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]
 [x2  12  π  ∫⁡xdx ]