please show all steps Find the new coordinate vector for the vector x after performing the...
Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know that bi--c1 +3c2 and b2-2c1 -4c2 (a) Show that if C is a basis, then B is also a basis (b) Find N, given that x-5but 3b2. (c) Find lyle given that y Зе-5c2. Question 3 (10 marks) Suppose B-[bi, b2] and Cci,...
Find the coordinate vector [x]g of x relative to the given basis B = {51,b2,b3}: 1 2 2 by = -3 b3 = b -1 x= -5 4 5 4 [x] = (Simplify your answers.)
Assume that the transition matrix from basis B = {b1, b2, b3} to basis C = {c1, c2, c3} is PC,B = 1/2*[ 0 -1 1 ; -1 1 1 ; 1 0 0 ]. (a) If u = b1 + b2 + 2b3, find [u]C. (b) Calculate PB,C. (c) Suppose that c1 = (1, 2, 3), c2 = (1, 2, 0), c3 = (1, 0, 0) and let S be the standard basis for R 3 . (i) Find...
Find the coordinate vector Find the coordinate vector [X]e of x relative to the given basis B = {b1,b2,63). [x]8 = (Simplify your answers.)
Find the coordinate vector [x]B of x relative to the given basis 8-{b1 ,b2} 2 2 2 -14 3 4 [xlB (Simplify your answers.)
please help. system is sensitive to answers. Find the coordinate vector (x]a of the vector x relative to the given basis B. 16 and B = (b, b2} b = b2 -4 -2 -5 28 O A. -64 -196 ов. -32 -64 32 D. 41 5. Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 -3 -3 -3 -5 -3 - 11 ОВ. хв - 20 18 OA X= 33 - 15...
5. Section 2.9 The vector x is in the subspace H with basis B {b1,b2}. Find the B-coordinate vector of x. b = (-3) - - [%]*-[-]
Find the matrix of the linear transformation T: V →W relative to B and C. Suppose B = {bı, b2, b3} is a basis for V and C = {C1, C2} is a basis for W. Let T be defined by T(b]) = 261 + C2 T(62) = -501 +502 T(b3) = 2C1-802 2. 3 0 2 -6 [3 0 -6 1 5-8 2 -5 2 5 -8 2 1 -5 5 2 -8
Please show all the work to complete the question and explain each step, please. Thank you! Let F(x, y) e*y (y cos x - centered at (1,0) in the first quadrant, traced clockwise from (0,0) to (2, 0). And suppose that C2 is the line from (0,0) to (2,0). sin x) xexy cos xj. Suppose that C1 is the half of the unit circle (A) Use the curl test to determine whether F is a gradient vector field or not....
only the ones highlighted and please show all steps. Finding Area by the Limit Definition In Exercises 47–56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = - 4x + 5, [0, 1] 48. y = 3x - 2. [2,5] 49. y = x2 + 2, [0, 1] 50. y = 5x + 1, [0, 2] 51. y...