Suppose T:R4 R³ is the transformation given below. Determine whether I is one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under T. If I is not onto, show this by providing a vector in R3 that is not in the range of T. xo xo+3x1+x2-x3 2x0+6x1+5x2-8x3 2x0+6x1+2x3 T is one-to-one T is onto

Determine all values of k so that the following set of vectors are linearly DEPENDENT. Choose all that apply. □k = 3 □k=1 k = 0 Ok=-1 □k=4 n k=-4

Let a = (– 3, 3, 0) and b = ( – 1, – 5, – 4). Find the projection of onto á. Write an exact answer, not using decimals. proją b Use angle brackets to write a vector.

. Create a vector named prob18a that has 10 elements of which the first is 8, the increment is 7, and the last element is 71. Then, assign elements of prob18a to a new vector prob18b such that prob18b has 7 elements. The first 4 elements of prob18b are the first 4 elements of the vector prob18a and the last 3 elements of prob18b are the last 3 elements of prob18a. Do not type the vector elements explicitly.