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matrix norm


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If A is a square matrix, with real or complex elements, a matrix norm |A| is a non-negative number with the properties that|A|>0 if A ≠ 0, and |A|=0 if A=0|kA|=k|A| for any positive scalar k,|A+B|≤|A|+|B|,|AB|≤|A|×|B|.

|A|>0 if A ≠ 0, and |A|=0 if A=0

|kA|=k|A| for any positive scalar k,

|A+B|≤|A|+|B|,

|AB|≤|A|×|B|.

Subjects: Mathematics.


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