Find-matrix-A-A-1-given-that-matrix-A-2-1-1-0-4-3-2-1-0-2-3-1-1-1-0-1-using-row-operations-

Question Number 175266 by oustmuchiya@gmail.com last updated on 25/Aug/22

Find matrix ∣ A ∣ A^{- 1}

given that matrix

A = (\begin{matrix} \sqrt{2} & - 1 & 1 & 0 \\ 4 & 3 & 2 & - 1 \\ 0 & 2 & 3 & 1 \\ 1 & - 1 & 0 & 1 \end{matrix})

using row operations

Commented by kaivan.ahmadi last updated on 27/Aug/22

e a s y

∣ A ∣ . A^{- 1} =∣ A ∣ . \frac{1}{∣ A ∣} A^{*} = A^{*} = A_{i j}^{T}