Solution Found!
[M] Let U be the 8 × 4 matrix in Exercise 36 in Section
Chapter 6, Problem 25E(choose chapter or problem)
[M] Let U be the 8 × 4 matrix in Exercise 36 in Section 6.2. Find the closest point to y = (1, 1, 1, 1, 1, 1, 1, 1) in Col U. Write the keystrokes or commands you use to solve this problem.Reference:[M] In parts (a)–(d), let U be the matrix formed by normalizing each column of the matrix A in Exercise 35. Reference:[M] Show that the columns of the matrix A are orthogonal by making an appropriate matrix calculation. State the calculation you use.
Questions & Answers
QUESTION:
[M] Let U be the 8 × 4 matrix in Exercise 36 in Section 6.2. Find the closest point to y = (1, 1, 1, 1, 1, 1, 1, 1) in Col U. Write the keystrokes or commands you use to solve this problem.Reference:[M] In parts (a)–(d), let U be the matrix formed by normalizing each column of the matrix A in Exercise 35. Reference:[M] Show that the columns of the matrix A are orthogonal by making an appropriate matrix calculation. State the calculation you use.
ANSWER:Solution 25EWrite the matrix = and y= Normalizing vector corresponding to the vector v isNormalize each column of the matrix by dividing with its norm.Note that,|||| = 10Therefore, Use Matlab to compute the product as follows:Enter the matrices A and U.>>