Solution Found!
In Exercises 27 and 28, view vectors in T : n as n × 1
Chapter 2, Problem 28E(choose chapter or problem)
Problem 28E
In Exercises 27 and 28, view vectors in T : ℝn as n × 1 matrices. For u and v in T : ℝn, the matrix product uT v is a 1 × 1 matrix, called the scalar product, or inner product, of u and v. It is usually written as a single real number without brackets. The matrix product uvT is an n × n matrix, called the outer product of u and v. The products uT v and uvT will appear later in the text.
If u and v are in Rn, how are uT v and vT u related? How are uvT and vuT related?
Questions & Answers
QUESTION:
Problem 28E
In Exercises 27 and 28, view vectors in T : ℝn as n × 1 matrices. For u and v in T : ℝn, the matrix product uT v is a 1 × 1 matrix, called the scalar product, or inner product, of u and v. It is usually written as a single real number without brackets. The matrix product uvT is an n × n matrix, called the outer product of u and v. The products uT v and uvT will appear later in the text.
If u and v are in Rn, how are uT v and vT u related? How are uvT and vuT related?
ANSWER:
Solution :
Step 1 :
In the given problem we have two vectors in ℝn as n × 1 matrices view.
consider the matrices from exercise 27E
