x = [12,11,3] is a vector in subspace H with orthogonal basis B = {b1,b2} where b1 = [3,1,-3],b=[2,3,3] Find Coordinate vector [x]B
x = [12,11,3] is a vector in subspace H with orthogonal basis B = {b1,b2} where...
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 coordinate vector [x]B of x relative to the given basis 8-{b1 ,b2} 2 2 2 -14 3 4 [xlB (Simplify your answers.)
2) The vector is in the subspace H with a basis B = {1,5}. Find the B-coordinate vector of 3 5x = [-2], 62 = (-). =) Answer:
1) for R2 Given the vectors b1,b2, C1, and cz. B = {b1,b2} is a basis for R2C = {C1,C2} is a basis b = [i.bz = [33],4 = (-2) c2 = [4] (a) Find the change of coordinates matrix to convert from B to C. (b) Find the coordinate vectors [x]B, [x]c, lyle and [ylc given x = [11] y = [12]
Question 12: B1 = (0.00 is a basis for a subspace S of R4. Use the Gram-Schmidt process on the basis B1 to produce an orthogonal basis B2 for S.
Let B = {b1,b2, b3} be a basis for a vector space V. Let T be a linear transformation from V to V whose matrix relative to B is [ 1 -1 0 1 [T]B = 2 -2 -1 . 10 -1 -3 1 Find T(-3b1 – b2 - b3) in terms of bı, b2, b3 .
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...
Let x=(3,1,0], and let U be the subspace spanned by the orthogonal set {[1, -2, 1],[1, 1, 1]}. Vector x can be written as X=X1+X2, where x1 is in U and xz is orthogonal to U. Find the first coordinate of x2.
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.)
2. Find the closest point to y = in the subspace H = Span [ o། [ 17 [10] 3. Let B = {| 2 |,|-2, 1}. Find the coordinate vector of x = [1] relative to the [=1] [4] [2] orthogonal basis B for R3. ངོ- v1cs None of the above 5. Which of the following is true about the sets of vectors S and T? 3 1 [3 ] , 2 ), T={l U L-13] The set S...