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Inverse matrix

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Multiplication matrix and inverse matrix: Real life examples

I am looking for examples of each of these, a couple of each would be great. I am having problems explaining to my daughter whom I homeschool how matrix multiplication and matrix inverse are used in our society today. Not just how each is used but how crucial this is in problem solving in real life. could you be kind enough to help with some real life samples and scenarios. Thanks for your kindness in responding.

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