Find the Norm A=[[0.7,0.3],[0.6,0.4]]

Problem

A=[[0.7,0.3],[0.6,0.4]]

Solution

1. Identify the type of norm to calculate. In linear algebra, if the specific norm is not specified, the induced (L_∞) norm (maximum absolute row sum) or the (L_1) norm (maximum absolute column sum) are commonly used. We will calculate the (L_∞) norm, denoted as ||*A||

2. Calculate the absolute sum of the first row.

|0.7|+|0.3|=1.0

3. Calculate the absolute sum of the second row.

|0.6|+|0.4|=1.0

4. Determine the maximum of these row sums.

max(1.0,1.0)=1.0

Final Answer

||*A||=1.0

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