Answer: In Exercises 27 and 28, view vectors in T : n as n

Chapter 2, Problem 27E

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Problem 27E

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.