Let T be a linear transformation from R^3 to R^3 Determine whether or not T is one-to-one in each of the following situations:.
1. Suppose T(0, -2, -4) = u. T(-3,-4,1) = v. T(-3, -5, -3) = u + v.
2. Suppose T(a) = u, T(b) = v. T(c) = u + v. where a, b,c, u,v v are vectors in R^3
3. Suppose T is an onto function
A. T is not a one-to-one function
B. T is a one-to-one function
C. There is not enough information to tell

In triangle abc segment de is parallel to the side ac . (the endpoints of segment de lie on the sides ab and bc respectively). find de, if ac=20cm, ab=17cm, and bd=11.9cm;

Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain

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