Find the inverse of the matrix $A = \begin{bmatrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{bmatrix}$. Using the inverse, $A^{-1}$, solve the system of linear equations $x - y + 2z = 1$; $2y - 3z = 1$; $3x - 2y + 4z = 3$.

Year	Paper Code	Set	Position
CBSE 2023	Series 65-4	Set 1	Question 32
CBSE 2023	Series 65-4	Set 2	Question 35
CBSE 2023	Series 65-4	Set 3	Question 33

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)