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1. Consider the set of all continuous functions that satisfy the condition ƒ (0) = 0. Show that…

1. Consider the set of all continuous functions that satisfy the condition ƒ (0) = 0. Show that…

1. Consider the set of all continuous functions that satisfy the condition ƒ(0) = 0. Show that this is a vector space.2. Show that the set of 2 × 2 matrices is a vector space.