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Refactor Matrix Calculator and Improve Error Handling#8

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refactor/matrix-calculator-improvements-7288083861927120010
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Refactor Matrix Calculator and Improve Error Handling#8
google-labs-jules[bot] wants to merge 1 commit intomainfrom
refactor/matrix-calculator-improvements-7288083861927120010

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This submission addresses feedback from a code review of the Matrix Calculator application. The changes include refactoring the main component into smaller, more manageable components, implementing user-facing error handling, and making the save/load functionality persistent using localStorage.


PR created automatically by Jules for task 7288083861927120010 started by @joinvnexus

Refactors the `MatrixInput` component by extracting the matrix display and results display into their own components (`MatrixDisplay` and `ResultsDisplay`). This improves code organization and reusability.

Implements user-facing error handling by creating a new `ErrorDisplay` component and updating the `useMatrixOperations` composable to emit error events. This provides better feedback to the user when an operation fails.

Fixes the save/load functionality by using `localStorage` to persist the matrix data across page reloads.

Also includes updates to the `CODE_REVIEW.md` file and `.gitignore`.
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