The square-bracket symbols
] denote matrices.
Elements in a row are separated by a comma.
Rows in a matrix are separated by a semi-colon.
For example, enter the following 2x2 matrix
m = [1, 2; 3, t]
Subsequently, other matrices may be defined in terms of m, e.g.,
twoByFourMatrix = [m, m]
To multiply the matrix m by the scalar 10 and divide by 2, type
mFive = 10 * m / 2
To add and multiply matrices m and m, type
add = m + m multiply = m * m
To form the transpose and inverse of m, type
transpose = GetTranspose( m ) inverse = GetInverse( m )
To calculate the determinant and eigenvalues of m, type
determinant = GetDeterminant( m ) eigenvalues = GetEigen( m )
To find the ordinary time-derivative of the matrix m, type
matrixDerivative = Dt( m )
To get the element in the 1st-row and 2nd column of m, type
Alternatively, use the command GetElement(1,2).
element12 = m[1,2]
To extract row 2 and columns 2 and 1 of m, type
row2 = GetRows( m, 2 ) column21 = GetColumns( m, 2, 1 )
To form the 3x3 identity matrix, type
identity33 = GetIdentityMatrix(3,3)
A description of many matrix commands is also available in