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  3. consider the matrix b =? ? ? ? ? ? ? ? ? ? ?1 1...

Consider the matrix B =? ? ? ? ? ? ? ? ? ? ?1 1...

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Basic Math

Consider the matrix B =? ? ? ? ? ? ? ? ? ?

?1 1 1 2

?1 1 0 3

?2 2 1 ?4 ? ? ? ? ? ? ? ? ? ?

(a) Find ||B||F.

(b) It can be shown (See Saito, Lecture Notes, 5.7) that the1-norm of a matrix A ? Rm×n can be written as ||A||1 = max1?j?n||aj||1 whereaj is the jth column of A. Find||B||1.

(c) Find ||B||2.

(d) It can be shown (See Saito, Lecture Notes, 5.9) that the?-norm of a matrix A ? Rm×n can be written as kAk? = max

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