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I propose a novel approach to balancing equations that is applicable to allchemical-reaction equations; it is readily accessible to students viascientific calculators and basic computer spreadsheets that have amatrix-inversion application. The new approach utilizes the familiarmatrix-inversion operation in an unfamiliar and innovative way; its purpose isnot to identify undetermined coefficients as usual, but, instead, to compute amatrix null space (or matrix kernel). The null space then provides thecoefficients that balance the equation. Indeed, the null space containseverything there is to know about balancing any chemical-reaction equation!

An Innovative Approach to Balancing Chemical-Reaction Equations: A Simplified Matrix-Inversion Technique for Determining The Matrix Null Space