Question

Find Adj(A) where A = equation .  Hence  find A-1.

14 Feb 2025
Answer :
Word Count : 112
We compute cofactors of $A=\begin{bmatrix}3&2&2\\-1&1&0\\3&0&1\end{bmatrix}$. Eliminating row 1, col 1: $\det\begin{bmatrix}1&0\\0&1\end{bmatrix}=1\Rightarrow C_{11}=+1.$ Eliminating row 1, col 2: $\det\begin{bmatrix}-1&0\\3&1\end{bmatrix}=(-1)(1)-0\cdot3=-1\Rightarrow C_{12}=(-1)^{1+2}(-1)=+1.$ Eliminating row 1, col 3: $\det\begin{bmatrix}-1&1\\3&0\end{bmatrix}=(-1)(0)-1\cdot3=-3\Rightarrow C_{13}=+(-3)=-3.$ Eliminating row _______ ____ __________ __________ __________ _________ _______ __________ ____ __________.
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