MATH 1071Q Lecture Notes - Lecture 4: Horse Length

The length l, width w, and height h of abox change with time. At a certain instant the dimensions arel = 5 m and w= h= 4 m, and l and w are increasing at a rate of 3 m/swhile h is decreasing at a rate of 6 m/s. At that instantfind therates atwhich the following quantities arechanging.

let U.V,W be finite dimensional vector spaces over F ,

and L:U-V , M:V-W be linear mapping

a) r(ML) <= r(M)

b) n(ML) >= n(L)