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How does PCA work?

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How does PCA work?
Clicked question
What are the steps involved in performing PCA?
How is data transformed through Principal Component Analysis?
What is the methodology behind PCA in reducing dimensionality?
Can you describe the principal mechanism by which PCA operates?
How does PCA achieve dimensionality reduction in datasets?
What's the workflow of PCA in simplifying data?
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Can you walk me through how Principal Component Analysis functions?
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Can you explain the process of Principal Component Analysis?

Interview question asked to Data Scientists interviewing at Monzo, Juniper Networks, Expedia and others: How does PCA work?.