View vectors in R" as nx1 matrices. For u and v in R", the matrix product u'v is a 1x1 matrix, called the scalar product, or inner product, of u and v. It is usually written as a single real number without brackets. The -9 matrix product uv' is an nxn matrix, called the outer product of u and v. Let u = 9 and v = b. Compute u'v, v"u, uv", and vu". -6 u'v=O (Do not factor.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 33EQ
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View vectors in R" as nx1 matrices. Foru and v in R", the matrix product u'v is a 1x1 matrix, called the scalar product, or inner product, of u and v. It is usually written as a single real number without brackets. The
- 9
a
matrix product uv' is an nxn matrix, called the outer product of u and v. Let u =
9.
and v =
Compute u'v, v'u, uv', and vu'.
- 6
u'v =
(Do not factor.)
Transcribed Image Text:View vectors in R" as nx1 matrices. Foru and v in R", the matrix product u'v is a 1x1 matrix, called the scalar product, or inner product, of u and v. It is usually written as a single real number without brackets. The - 9 a matrix product uv' is an nxn matrix, called the outer product of u and v. Let u = 9. and v = Compute u'v, v'u, uv', and vu'. - 6 u'v = (Do not factor.)
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