anonymous
  • anonymous
7. Let F : V → W be a bijective linear map. Show that the inverse of F is also a linear map.
Mathematics
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anonymous
  • anonymous
7. Let F : V → W be a bijective linear map. Show that the inverse of F is also a linear map.
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
okk ... assume v1 and v2 are elements of V and w1 and w2 are corresponding images in W then f(v1 + kv2) = w1 + kw2. Also note that this would be exclusive as the function is bijective (one one and onto). this means that f(x) = w1 if and only if x = v1. Hence invf(w1 + kw2) = v1 + kv2 = invf(w1) + k * invf(w2) .. similarly prove for multiplication identity hence proved..
anonymous
  • anonymous
k thanx....

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