1.Understanding Functions
det, to calculate the value of the determinant, det uses LU decomposition to compute the determinant, which can easily lead to floating-point rounding errors. Therefore, the calculation of determinants can sometimes be numerically unstable.
rref, to simplify a row echelon matrix, the rref function employs the Gauss-Jordan elimination method and partial pivoting to generate a simplified row echelon form matrix.
2.Programming Example
(1) Calculate the value of the determinant
Program:
A=[10 12 10
12 2 15
10 15 4];
det(A)
Output:
ans =
654
(2) Simplifying Row Echelon Matrix
Program:
a=[1 1;2 2];
rref(a)
b=[1 1;2 3];
rref(b)
Output:
ans =
1 1
0 0
ans =
1 0
0 1
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