Abstract
This chapter discusses a matrix norm 'induced' by the vector norm. If n(x) is a vector norm satisfying the vector norm axioms, then for any matrix where the supremum is over all nonzero vectors x, it satisfies the matrix norm axioms and is called the norm induced by n(x). The chapter also discusses the Chebyshev case, the Manhattan case, the Euclidean case, the matrix norm induced by the p-norm.
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