project the vector(7 7 21) onto the subspace spanned by(1 1 1) and (-1 1 2)

project the vector(7 7 21) onto the subspace spanned by(1 1 1) and (-1 1 2)
(1 point) What is the matrix P-(P) for the projection of a vector b є R3 onto the subspace spanned by the vector a- ? 5 9 Pl 3 1 2 P21 23 - P32 31 What is the projection p of the vector b0onto this subspace? 9 Pl Check your answer for p against the formula for p on page 208 in Strang.
(1 point) What is the matrix P-(P) for the projection of a vector b є R3...
What is the matrix P (P,) for the projection of R3 onto the subspace V spanned by the vectors 0 Pi3 12 P2 1 23 - P33 3 1 4 What is the projection p of the vector b-5 onto this subspace? Pi P2 Ps
What is the matrix P (P,) for the projection of R3 onto the subspace V spanned by the vectors 0 Pi3 12 P2 1 23 - P33 3 1 4 What is the projection p...
Find the orthogonal projection of v = |8,-5,-5| onto the
subspace W of R^3 spanned by |7,-6,1| and |0,-5,-30|.
(1 point) Find the orthogonal projection of -5 onto the subspace W of R3 spanned by 7 an 30 projw (V)
Find the orthogonal projection of v=[1 8 9] onto the subspace V
of R^3 spanned by [4 2 1] and [6 1 2]
(1 point) Find the orthogonal projection of v= onto the subspace V of R3 spanned by 2 6 and 1 2 9 projv(v)
Determine if y is in the subspace of R4 spanned by the columns of A. -7 w 9 6-7 T-9-9 3 | 10 -2 -8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. (Type integers or simplified fractions.) OB. The vector y...
-4 -47 -3 (1 point) Find the vector in the subspace W spanned by which is closest to –4 2 -8 –12 –21 -3018 -61 Answer: -756 -1248
(1 point) Find the orthogonal projection of 11 onto the subspace W of R4 spanned by 1 2 -2 and *20 -2 projw() =
3 9. Find the orthogonal projection ofv-1.41 onto the subspace w 1 1 3 spanned by the vectors2
3 9. Find the orthogonal projection ofv-1.41 onto the subspace w 1 1 3 spanned by the vectors2
(1 point) Find the orthogonal projection of V = onto the subspace V of R4 spanned by X1 = and X2 = 3/2 projv(v) = -39/2
Problem 6. (15 pts.) Project the vector b = (1, 2,5) onto the line spanned by the vector (2,3,4). Use the linear algebra viewpoint and notation, NOT the multi- dimensional calculus one. Show work to justify your answers to the following: (a) Find the projection vector p. (b) Find the projection matrix P. (c) Find the error vector e.