# Define Exponential Matrices?

Define Exponential Matrices?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Step 1
A matrix function on square matrix analogous to the ordinary exponential function is a matrix exponential is a. It is used to solve systems of linear differential equations.
Step 2
Let X be an $n×n$ real or complex matrix. The exponential of X, denoted by ${e}^{X}$ or exp(X), is the $n×n$ matrix given by the power series
${e}^{X}=\sum _{k=0}^{\mathrm{\infty }}\frac{1}{k!}{X}^{k}$
where ${X}^{0}$ is defined to be the identity matrix I with the same dimensions as X.
The above series always converges, so the exponential of X is well-defined. If X is a $1×1$ matrix the matrix exponential of X is a $1×1$ matrix whose single element is the ordinary exponential of the single element of X.
Jeffrey Jordon