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6. We showed early in the semester that the positive real numbers with vector addition defined to be standard multiplica

Posted: Thu May 12, 2022 12:16 pm
by answerhappygod
6 We Showed Early In The Semester That The Positive Real Numbers With Vector Addition Defined To Be Standard Multiplica 1
6 We Showed Early In The Semester That The Positive Real Numbers With Vector Addition Defined To Be Standard Multiplica 1 (15.01 KiB) Viewed 23 times
6. We showed early in the semester that the positive real numbers with vector addition defined to be standard multiplication and scalar multiplication defined to be exponentiation is a vector space. Show that this vector space has dimension 1 and conclude that it is isomorphic to the real numbers with standard operations. Then show that the exponential function is actually an isomorphism between the two spaces.