Question

If a Leslie matrix L has an associated eigenvaule, and eigenvector = X0, how can we find X50?

A) Matrix multiplication
B) Exponential growth
C) Iterative method
D) Not possible to determine

Answer 1

The best method to find X50 when given a Leslie matrix L, an associated eigenvalue, and an eigenvector X0 is matrix multiplication.

Step-by-step explanation:

The best method to find X50 when given a Leslie matrix L, an associated eigenvalue, and an eigenvector X0 is matrix multiplication. When a matrix is multiplied by its eigenvector, the result is a new vector that represents the next generation or iteration. By continuously multiplying the matrix by the eigenvector, you can find X50.

Here's an example:

1. Start with the eigenvector X0.
2. Multiply the Leslie matrix L by X0 to get X1.
3. Multiply L by X1 to get X2.
4. Repeat this process until you reach X50.