Algoritma dan Pemrograman
Referensi untuk Mata Kuliah Algoritma dan Pemrograman bagi Mahasiswa Program Studi Statistika dapat di download pada link berikut
Slide Ajar Aljabar Linear Vektor dan Matriks
Slide Ajar Mata Kulian Aljabar Linear Vektor dan Matriks dapat di download pada link berikut
Tugas Aljabar Linear
Berikut tugas Aljabar Linear untuk Mahasiswa Matematika semester 1.
1. Selesaikan sistem berikut dengan Eliminasi Gauss
a) | 10y | - | 4z | + | w | = | 1 | b) | x | - | 2y | + | z | - | 4w | = | 1 | ||
x | + | 4y | - | z | + | w | = | 2 | x | + | 3y | + | 7z | + | 2w | = | 2 | ||
3x | + | 2y | + | z | + | 2w | = | 5 | x | - | 12y | - | 11z | - | 16w | = | 5 | ||
-2x | - | 8y | + | 2z | - | 2w | = | -4 | |||||||||||
x | - | 6y | + | 3z | = | 1 |
2. Selesaikan soal no.1 dengan metode Gauss-Jordan
3. Selesaikan sistem homogen berikut
a) | 2x | + | y | + | 3z | = | 0 | b) | x | + | y | + | x | = | 0 | ||||
x | + | 2y | = | 0 | -v | - | w | + | 2x | - | 3y | + | x | = | 0 | ||||
y | + | z | = | 0 | v | + | w | - | 2x | - | x | = | 0 | ||||||
2v | + | 2w | - | x | + | x | = | 0 |
4. Untuk nilai a berapakah sistem berikut tidak memiliki solusi? Tepat satu solusi? Takhingga banyaknya solusi?
x | + | 2y | - | 3z | = | 4 |
3x | - | y | + | 5z | = | 2 |
4x | + | y | + | (a^2-14)z | = | a+2 |
5. Reduksilah matriks berikut menjadi bentuk eselon baris tereduksi tanpa menggunakan bentuk pecahan apapun.
========================SELAMAT BELAJAR==========================
Logika Matematika
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Matematika Dasar
Referensi tambahan untuk Mata Kuliah Matematika Dasar dan Matematika Sains.
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