Question: c) Let A be a 2 x2 matrix. Problem Sheet 2 Mathematics for AI i) Show that if det A = 0, then A has

c) Let A be a 2 x2 matrix. Problem Sheet 2 Mathematics for AI i) Show that if det A = 0, then A has an eigenvalue of 0. ii) Show that if A has an eigenvalue of 0, then detA = 0. iii) Let T: R2 - R- be the linear transformation corresponding to the 2 x2 matrix A. Suppose A has an eigenvalue of 0, corresponding to the eigenvector (;). Geometrically describe the effect of this transformation on areas in 2-dimensional Euclidean space

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