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Student[LinearAlgebra]

  

MatrixExponential

  

determine the matrix exponential

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

MatrixExponential(A, t, options)

Parameters

A

-

square Matrix

t

-

(optional) scalar parameter

options

-

(optional) parameters; for a complete list, see LinearAlgebra[MatrixExponential]

Description

• 

The MatrixExponential(A, t) command returns the Matrix exp(A*t) = I + A*t + 1/2!*A^2*t^2 + ... where I is the identity Matrix.

• 

If the scalar parameter t is not specified, the first indeterminate (if any) in the Matrix is removed and used as a parameter.

Examples

withStudent:-LinearAlgebra:

AMatrix13,10,21,16

A−13−102116

(1)

MatrixExponentialA

15ⅇ14ⅇ210ⅇ2+10ⅇ21ⅇ221ⅇ14ⅇ+15ⅇ2

(2)

MatrixExponentialA,x

15ⅇx14ⅇ2x10ⅇ2x+10ⅇx21ⅇ2x21ⅇx14ⅇx+15ⅇ2x

(3)

MatrixExponentialA,x

15ⅇx14ⅇ2x10ⅇ2x+10ⅇx21ⅇ2x21ⅇx14ⅇx+15ⅇ2x

(4)

Compatibility

• 

The Student[LinearAlgebra][MatrixExponential] command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

Student[LinearAlgebra]