2 and v = [*] 21. Let u = Show that is in Span {u, v} for all h and k.

Q: Suppose v1, V2,..., Vm E V. Prove that {v1, v2, ..., Um} = (span(v1, v2, ..., Um))-.

A:

Q: Let u =(5,5,0) and v=(,5,5,(5sqrt2). Compute |u*v|

A: Approach to solving the question: Detailed explanation: Examples: Key…

Q: Let N R R be any norm on Rn. Show that N is a convex function (give all the details for the proof).

A: Given N :R^n→R be a norm on R^n.      To show : N is a convex.     Definition of norm :…

Q: Find the projection of u = onto v = . projuv =

A: We can find the projection in two form one is in scalar form and other is vector form. here i give…

Q: Let {1,2,3} be a linearly independent set in a vector space V. Let w € V. Let U = Span{₁+ W, V₂ +…

A: v→1, v→2, v→3 is a linearly independent set in a vector space V.μ=Spanv→1+w→, v→2+w→, v→3+w→, w→∈V…

Q: Let fand g be the functions defined by f(x)= x+et-&x + 1, and g(x) ==- 4x + 2. Let Q and R be the…

A: Hi! All the sub-parts are quite big. As nothing is specified, we are solving (a). kindly re-post the…

Q: and n 12/22 -42 Z+6z Z722+2 2ナ z2, 4z+3

A:

Q: 22. Let v₁ = (1, 6, 4), v₂ = (2, 4, -1), V3 = (-1, 2, 5), and W₁ = (1, -2,-5), w₂= (0, 8, 9). Use…

A: Given vectors are Here observed that So we have each of .In other words ,

Q: What is the Boundedness Theorem?

A:

Q: OR SECTION 13.6 1. Let S be a nonempty, closed, convex set in R" that does not contain the origin.…

A: Consider the provided question,   Suppose, S be a non empty, closed, convex set in  that doesn't…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.