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Refactor Matrix Calculator Architecture#4

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feat/refactor-matrix-calculator-architecture-8391715936131816572
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Refactor Matrix Calculator Architecture#4
google-labs-jules[bot] wants to merge 1 commit intomainfrom
feat/refactor-matrix-calculator-architecture-8391715936131816572

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This submission refactors the Matrix Calculator's frontend architecture to improve maintainability and separation of concerns. The monolithic MatrixInput.vue component has been broken down into smaller, more focused components, and all business logic has been centralized into a useMatrixOperations.js composable. This change makes the codebase more scalable and easier to maintain.


PR created automatically by Jules for task 8391715936131816572 started by @joinvnexus

This commit refactors the entire frontend architecture of the Matrix Calculator application to improve separation of concerns, maintainability, and scalability.

Key changes include:
- Centralized all business logic and state management into a `useMatrixOperations.js` composable.
- Decomposed the monolithic `MatrixInput.vue` into smaller, single-responsibility presentational components: `AppHeader`, `AppFooter`, `MatrixInput`, `MatrixOperations`, and `MatrixResult`.
- Updated `App.vue` to act as an orchestrator, fetching state from the composable and passing it down to child components via props.
- Resolved ESLint violations by renaming single-word components (`Header.vue`, `Footer.vue`) to multi-word names (`AppHeader.vue`, `AppFooter.vue`).

This new architecture aligns with Vue 3 best practices and makes the codebase significantly easier to test, debug, and extend in the future.
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