Explanation: 
Another Explanation (5):
A= \(\begin{bmatrix} 1 & 3 \\ 2 & 5 \end{bmatrix}\)
A-1 নির্ণয়:
প্রথমে, A এর নির্ণায়ক (determinant) বের করি:
det(A) = (1 * 5) - (3 * 2) = 5 - 6 = -1
A-1 = \(\frac{1}{det(A)}\) adj(A)
যেখানে, adj(A) হলো A এর adjunct matrix।
A= \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\) হলে, adj(A) = \(\begin{bmatrix} d & -b \\ -c & a \end{bmatrix}\)
সুতরাং, adj(A) = \(\begin{bmatrix} 5 & -3 \\ -2 & 1 \end{bmatrix}\)
A-1 = \(\frac{1}{-1}\) \(\begin{bmatrix} 5 & -3 \\ -2 & 1 \end{bmatrix}\)
A-1 = \(\begin{bmatrix} -5 & 3 \\ 2 & -1 \end{bmatrix}\) ✅
অতএব, A-1 = \(\begin{bmatrix} -5 & 3 \\ 2 & -1 \end{bmatrix}\)
