Given a vector x, show that the infinity norm defined by |||x|| = max|x|, satisfies the triangular property of a vector norm (i.e. ||x + y|| ≤||x| +\y\).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Given a vector x, show that the infinity norm defined by
|||x|| = max|x;\,
satisfies the triangular property of a vector norm (i.e. ||x+y||≤|x + y).
Transcribed Image Text:Given a vector x, show that the infinity norm defined by |||x|| = max|x;\, satisfies the triangular property of a vector norm (i.e. ||x+y||≤|x + y).
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