MATLAB Mathematics - SERC - Index of

1 Matrices and Linear Algebra
Matrix Powers and Exponentials
This section tells you how to obtain the following matrix powers and
exponentials in MATLAB:
• Positive integer
• Inverse and fractional
• Element-by-element
• Exponentials
Positive Integer Powers
If A is a square matrix and p is a positive integer, then A^p effectively multiplies
A by itself p-1 times. For example,
A = [1 1 1;1 2 3;1 3 6]
A =
X = A^2
X =
1 1 1
1 2 3
1 3 6
3 6 10
6 14 25
10 25 46
Inverse and Fractional Powers
If A is square and nonsingular, then A^(-p) effectively multiplies inv(A) by
itself p-1 times:
Y = A^(-3)
1-34