Question: Let S be a real and nonsingular matrix, and let ||||' be any norm on R n . Define ||||' by ||x|| = ||Sx||.Show that

Let S be a real and nonsingular matrix, and let ||·||' be any norm on Rn. Define ||·||'  by ||x|| = ||Sx||.Show that || · ||' is also a norm on Rn.

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