T F If T(x) = Ax is a one-to-one linear transformation thru A must have a plot i

Question

T F If T(x) = Ax is a one-to-one linear transformation thru A must have a plot in every row. T F The system Ax = b will be consistent if b is a linear combination of the columns of A. T F If the homogeneous linear system Ax = 0 has nontrivial solutions then the columns of A must be linearly independent. T F If the columns of A are linearly independent then the linear transformation T(x) = Ax is one-to-one. YES NO Does Ax = 0 have nontrivial solutions? YES NO Is Ax = b consistent for all b in R7? YES NO Is T(x) = Ax one-to-one? YES NO Is T(x) = Ax onto R7?

Explanation / Answer

F T T F Yes No Yes Yes

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