Homepage › Solution manuals › Gilbert Strang › Introduction to Linear Algebra › Exercise 2.4.38

Introduction to Linear Algebra

Exercise 2.4.38

Answers

(a): Multiply the columns $a_{1}, \dots, a_{m}$ by the rows $a_{1}^{T}, \dots, a_{m}^{T}$ and add the resulting matrices.
(b): We have $A^{T} CA = c_{1} a_{1} a_{1}^{T} + \dots + c_{m} a_{m} a_{m}^{T} .$
Diagonal $C$ makes it neat.

mathchakra

2021-12-06 18:26

Comments