Let X be a vector space. Let || and || || be two norms on X. When are these norms said to be equivalent? Justify your answer. Let X = R³. For X = (X₁, X₂, X3). Let ||x|| = x₁ |+|x₂|+|X3| ||1x||² = √√√x₁ 1² + 1x₂ 1² +1x31² Show that ||-||and|||| are equivalent.

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