Calculating the Second Norm of a Matrix: Formula and Explanation

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The second norm of a matrix, denoted as ||A||_2, can be calculated by treating the matrix as an mn-tuple, where the square of the norm equals the sum of the squares of its entries. This method is related to the Pythagorean theorem, emphasizing the relationship a^2 + b^2 = c^2. The discussion suggests that the formula is often remembered intuitively rather than forgotten. Understanding this concept is crucial for matrix analysis. Overall, the second norm is a fundamental aspect of linear algebra.
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Hi,
I have forgotten the formula for calculating the second norm of matrix. Does anyone know the formula?
Regards,
Niko
 
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Are you talking about the norm usually written as ||A||_2? You simply consider the (mxn) matrix as an mn-tuple: the square of the norm is the sum of the squares of the entries.
 
this is also called the pythagorean theorem. i'll bet you haven't really forgotten it. almost no one ever does: a^2 + b^2 = c^2.
 

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