Solution Found!
[M] Let U be the matrix in Exercise 25. Find the distance
Chapter 6, Problem 26E(choose chapter or problem)
QUESTION:
[M] Let U be the matrix in Exercise 25. Find the distance from \(\mathbf{b}=(1,1,1,1,-1,-1,-1,-1)\) to Col U.
Questions & Answers
QUESTION:
[M] Let U be the matrix in Exercise 25. Find the distance from \(\mathbf{b}=(1,1,1,1,-1,-1,-1,-1)\) to Col U.
ANSWER:Solution 26EWrite the matrix .= [] and b= Normalizing vector corresponding to the vector v isNormalize each column of the matrix by dividing with its norm.Note that,|||| = 10Therefore, By the best approximation theorem, the closest point to yin Col is the orthogonal projection of y and the distance from y to the plane is given as ||y-||So the dista