The following matrices are given: Matrix A describes the reflection of a point in space on the x, y -plane and matrix B represents the rotation of the spatial coordinate system around the z-axis by the angle alpha (a) Show that both matrices are orthogonal. (b) Find the inverse of the two matrices. (c) Write the following matrices: (i) A matrix that describes the reflection of a point in space on the x, z-plane, (ii) A matrix that describes the rotation of the spatial coordinate system around the y-axis by the angle ß

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