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11 Nov 2019
Please help on these
Let x Rn. Prove that ||x||1 = is a norm. (It is called the 1-norm). Let A, B and C be n x n matrices. Prove that trace (ABC) = trace (BCA). Prove that (trace (ATB))2 trace (ATA) trace (BTB) with equality holding if and only if A = alphaB for some scalar alpha. The Frobenius norm of a real matrix A, denoted by ||A||F, is defined by Proye that |trace (A)|
Please help on these
Let x Rn. Prove that ||x||1 = is a norm. (It is called the 1-norm). Let A, B and C be n x n matrices. Prove that trace (ABC) = trace (BCA). Prove that (trace (ATB))2 trace (ATA) trace (BTB) with equality holding if and only if A = alphaB for some scalar alpha. The Frobenius norm of a real matrix A, denoted by ||A||F, is defined by Proye that |trace (A)|
Beverley SmithLv2
16 Jun 2019