inv

Inverse of symbolic matrix

Syntax

inv(A)

Description

inv(A) returns the inverse of the symbolic matrix A.

Examples

Compute Inverse of Symbolic Matrix

Compute the inverse of the following matrix of symbolic numbers.

A = sym([2 -1 0; -1 2 -1; 0 -1 2]);
inv(A)

ans =
[ 3/4, 1/2, 1/4]
[ 1/2,   1, 1/2]
[ 1/4, 1/2, 3/4]

Compute the inverse of the following symbolic matrix.

syms a b c d
A = [a b; c d];
inv(A)

ans =
[  d/(a*d - b*c), -b/(a*d - b*c)]
[ -c/(a*d - b*c),  a/(a*d - b*c)]

Compute Inverse of Symbolic Hilbert Matrix

Compute the inverse of the symbolic Hilbert matrix.

inv(sym(hilb(4)))

ans =
[   16,  -120,   240,  -140]
[ -120,  1200, -2700,  1680]
[  240, -2700,  6480, -4200]
[ -140,  1680, -4200,  2800]

Input Arguments

A — Matrix

symbolic matrix

Matrix, specified as a symbolic matrix.

Limitations

Matrix computations involving many symbolic variables can be slow. To increase the computational speed, reduce the number of symbolic variables by substituting the given values for some variables.