Exercise 2.5.39

Answers

The inverse of

A = [\begin{matrix} 1 & - a & 0 & 0 \\ 0 & 1 & - b & 0 \\ 0 & 0 & 1 & - c \\ 0 & 0 & 0 & 1 \end{matrix}]

A^{- 1} = [\begin{matrix} 1 & a & ab & abc \\ 0 & 1 & b & bc \\ 0 & 0 & 1 & c \\ 0 & 0 & 0 & 1 \end{matrix}] .

(This would be a good example for the cofactor formula $A^{- 1} = C^{T} ∕ \det A$ in Section 5.3)

mathchakra

2021-12-19 17:43