Inverse of symbolic matrix
inv(A)
example
inv(A) returns the inverse of the symbolic matrix A.
A
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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 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]
Matrix, specified as a symbolic matrix.
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.
det | eig | rank
det
eig
rank