- 10 A Linear Transformation T R R Maps The Basis Vectors As Follows T 1 0 1 0 1 And T 0 1 1 0 1 1 (59.58 KiB) Viewed 16 times
10. * A linear transformation T : R² → R³ maps the basis vectors as follows: T(1,0) = (1, 0, 1) and T(0, 1) = (-1,0,1).
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10. * A linear transformation T : R² → R³ maps the basis vectors as follows: T(1,0) = (1, 0, 1) and T(0, 1) = (-1,0,1).
10. * A linear transformation T : R² → R³ maps the basis vectors as follows: T(1,0) = (1, 0, 1) and T(0, 1) = (-1,0,1). (i) Determine the nullity and rank of T. (ii) Determine the matrix of T. (iii) Find bases {e₁, e2} for R² and {w₁, W2, W3} for R³ relative to which the matrix of T will be in diagonal form.