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8) Define n n ||A|| = |arj| i=1 j=1 Show that this is a matrix norm (that is, a norm on the linear space

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8) Define n n ||A|| = |arj| i=1 j=1 Show that this is a matrix norm (that is, a norm on the linear space of all n x n matrices). Show that it is not subordinate to any vector norm. Does it conform to Equation (9) and Inequality (10)? ||I|| = 1 ||AB|| ||A||||B|| (Equation 9) (Inequality 10)

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