IGNOU MCH 14 2025 2026 - Find A⁻¹, where

Question

Find A⁻¹, where

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16 Nov 2025

Answer :

Word Count : 300

To find the inverse of a matrix (A), denoted as (A^{-1}), we first need to ensure that the matrix is square and its determinant is non-zero, since only then the inverse exists. For chemists, matrix inversion is frequently applied in solving systems of linear equations arising in reaction kinetics, stoichiometry, and thermodynamic calculations. The general formula for the inverse of a (2 \times 2) matrix [ A = \begin{pmatrix} a & b \ c & d \end{pmatrix} ] is [ A^{-1}

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