Question: Find the matrix A in the linear transformation y = Ax, where x = [x 1 x 2 ] T (x = [x 1 x

Find the matrix A in the linear transformation y = Ax, where x = [x₁ x₂]^T (x = [x₁ x₂ x₃]^T) are Cartesian coordinates. Find the eigenvalues and eigenvectors and explain their geometric meaning.

Counterclockwise rotation through the angle π/2 about the origin in R².

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