Aljabar Matriks

Matriks memungkinkan kita untuk : menyatakan sistem persamaan lebih ringkas (Ax = d) mengetahui apakah ada solusi tunggal atau tidak mendapatkan solusi itu (jika memang ada) However, matrix is applicable to linear-equation systems only. Yet a nonlinear model can be transformed into a linear model. y = axb à log y = log a + b log x A matrix that contains m rows and n columns is said to be of dimension m x n.  In the special case where m = n, the matrix is called a square matrix. Some matrices may contain only one column such as x and d and called column matrix.  When there is only one row, it is called row matrix. Operasi Matriks Two matrices A = (aij) and B = (bij) are said to be equal  if aij = bij Addition (commutative and associative) A + B = B + A (A + B) + C = A + (B+ C) Subtraction A – B Scalar Multiplication : k A Multiplication of matrices A m x n x B p x q can be done only  if n = p and will result in C m x q  (not commutative but distributive and associative) AB ≠ BA but (AB) C = A (BC) and A (B+C) = AB + AC , (B+C) A = BA + CA