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 det A = 0. iii) Let T :R² → R? be the linear transformation corresponding to the 2 x 2 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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Q: 5. The number 0 can never be an eigenvalue of a linear operator. True or False?

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A: according to policy of bartleby , dear student we can answer only ist 3 subparts

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Q: Let T : P2 → P2 be the linear transformation such that T(1) = 4+ 2x + x², T(x) = 3x, T(x²) = 1+2x +…

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Q: the new axes.

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A: To identify given statement is true or false

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