Written by zen
Saturday, 11 June 2011 00:49
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.
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)
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
Last Updated on Saturday, 11 June 2011 00:56