Prove the properties of matrix determinants stated

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Reference no: EM131241560

1. Write an implicit equation for the 2D line through points (x₀, y₀) and (x₁, y₁) using a 2D determinant.

2. Show that if the columns of a matrix are orthonormal, then so are the rows.

3. Prove the properties of matrix determinants stated in Equations (5.5)-(5.7).

4. Show that the eigenvalues of a diagonal matrix are its diagonal elements

Reference no: EM131241560

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