Let M a matrix of m×n. Consider A as a linear map of Kn→Km. Determine ‖A‖ when we consider the norms ‖⋅‖1 and ‖⋅‖∞ in Kn and Km, respect.
I have the following questions:
First of all, the linear map A:Kn→Km has a explicit form?.
Second, how I understand the 1-norm and the infinite norm for a matrix of side m×n??
Can help me in this problem, I try use cauchy inq. thanks!!
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