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Introduction to Linear Algebra

Exercise 2.4.34

Answers

The product

A * ones = [\begin{matrix} a + b & a + b \\ c + d & c + d \end{matrix}]

agrees with

ones * A = [\begin{matrix} a + c & b + b \\ a + c & b + d \end{matrix}]

when $b = c$ and $a = d$ . Then

A = [\begin{matrix} a & b \\ b & a \end{matrix}] .

These are the matrices that commute with

[\begin{matrix} 1 & 1 \\ 1 & 1 \end{matrix}] .

mathchakra

2021-12-06 18:18

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