Symmetric and Skew Symmetric Matrices

The video tutorial explains symmetric and skew symmetric matrices, defining each and providing examples. It discusses theorems related to these matrices and demonstrates how any square matrix can be expressed as the sum of a symmetric and a skew symmetric matrix. An example is provided to illustrate this decomposition process.

What is the significance of the diagonal elements in a skew symmetric matrix?

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What is the relationship between a matrix and its transpose in the context of symmetric and skew symmetric matrices?

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Provide an example of how to express a matrix as the sum of a symmetric and a skew symmetric matrix.

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