Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 302 / 4 / a / vi

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- Solution vi

Solution

α_{i} = \sum_{j} c_{ij} ω_{j}

with

α_{k}^{\lor}

gives

c_{ik} = A_{ik}

. Hence the relation between the two bases is

α_{i} = j \sum A_{ij} ω_{j} .

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