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The Leslie Matrix is :L = [ 2.2 4.2, 0.1 0]. Use the L to calculate L3

Question

The Leslie Matrix is :L = [ 2.2 4.2, 0.1 0]. Use the L to calculate L3

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Solution

To calculate L^3, we need to multiply the matrix L by itself three times. Here are the steps:

Step 1: Calculate L^2 L^2 = L * L = [2.2 4.2; 0.1 0] * [2.2 4.2; 0.1 0] = [2.22.2 + 4.20.1, 2.24.2 + 4.20; 0.12.2 + 00.1, 0.14.2 + 00] = [4.84, 9.24; 0.22, 0.42]

Step 2: Calculate L^3 L^3 = L^2 * L = [4.84, 9.24; 0.22, 0.42] * [2.2 4.2; 0.1 0] = [4.842.2 + 9.240.1, 4.844.2 + 9.240; 0.222.2 + 0.420.1, 0.224.2 + 0.420] = [10.648, 20.328; 0.484, 0.924]

So, L^3 = [10.648, 20.328; 0.484, 0.924]

This problem has been solved

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