Thank you Find u. (w). This quantity is called the triple scalar product of u, v,...
Find u. (v * w). This quantity is called the triple scalar product of u, v, and w. u=j, v = 2i, w = 2k Need Help? Read It Talk to a Tutor CS Submit Answer With CamScanner onit Answer with
u and v are perpendicular. Find the triple scalar product of u, v and w=-3⋅u×v+2⋅u+6⋅v if |u|=6, |v|=8.
QUESTION 10 Find the triple scalar product (u x v). w of the vectors u = 2i - 4j, v= -4i - 6j + 4k, w=9i - 7j+3k ОА 74 OB 140 OC-140 OD 458 ОЕ 74
Problem 1. The figure below shows the vectors u, v, and w, along with the images T(u) and T(v) to the right. Copy this figure, and draw onto it the image T(w) as accurately as possible. (Hint: First try writing w as a linear combination of u and v.) TV (u) Problem 2. Let u = | and v Suppose T : R2 + R2 is a linear transformation with 6 1 3) Tu = T(u) = -3 and T(v)...
I need the answer to problem 6 Clear and step by step please Problem 4. Let V be a vector space and let T : V → V and U : V → V be two linear transforinations 1. Show that. TU is also a linear transformation. 2. Show that aT is a linear transformation for any scalar a. 3. Suppose that T is invertible. Show that T-1 is also a linear transformation. Problem 5. Let T : R3 →...
Question 19: Linear Transformations Let S = {(u, v): 0 <u<1,0 <v<1} be the unit square and let RCR be the parallelogram with vertices (0,0), (2, 2), (3,-1), (5,1). a. Find a linear transformation T:R2 + R2 such that T(S) = R and T(1,0) = (2, 2). What is T(0, 1)? T(0,1): 2= y= b. Use the change of variables theorem to fill in the appropriate information: 1(4,)dA= S. ° Sºf(T(u, v)|Jac(T)| dudv JA JO A= c. If f(x, y)...
Let u = 31 - ), v= 41+j, w = i +5j Find the specified scalar. (4u) .v (4u)•v=0 Enter your answer in the answer box
W is a rele that A linear transformation T from a vector space V into a vector space assigns to each vector 2 in V a unique vector T() in W. such that (1) Tutu = Tu+Tv for all uv in V, and (2) Tſcu)=cT(u) for all u in V and all scalar c. *** The kernel of T = {UE V , T(U)=0} The range of T = {T(U) EW , ue V } Define T :P, - R...
Q1: If (u,v) = (((,,a,,a,), (1;,6,63)) = a,b – a,b, + a,b; show that (u, v) is inner product or not. Q2: Find a basis and dimension for the Kernel and Image of linear transformation T:R — > R3 given by the formula T(x,y,z) = (x + y, x – y + x,y + 22), and show that dim(ker T) + dim(Im T) = n Q3: Find the matrix P that diagonalize A and then compute P-AP and A20. 1...
please answer correctly. i will not rate if it’s not correct and includes steps. Thank you. ex..2 3 4-6 -8 0 -1 31 Find a besis for the image of T and a basis for the kornel of T. (Thse bases sed not be orthonormal) 2. (10 points) Let V be the linear subspace of R consisting of all vectors that satisty z Here, z, denotes the ith componest of a vector E.) 3r2 and (a) What is the dimension...