Let L be the linear operator mapping ℝ3ℝ3 into ℝ3ℝ3 defined by L(x)=AxL⁡(x)=Ax, where A=⎡⎣⎢⎢⎢322−10−1−2−2−1⎤⎦⎥⎥⎥ A=[3−1−220−22−1−1] and let v1=⎡⎣⎢⎢⎢111⎤⎦⎥⎥⎥,v2=⎡⎣⎢⎢⎢120⎤⎦⎥⎥⎥,v 3=⎡⎣⎢⎢⎢0−21⎤⎦⎥⎥⎥ v1=[111],v2=[120],v3=[0−21] Find the transition matrix V corresponding to a change of basis from {v1,v2,v3}{v1,v2,v3} to {e1,e2,e3}{e1,e2,e3}, and use it to determine the matrix B representing L with respect to {v1,v2,v3}{v1,v2,v3}.

The graph of g(x) is a translation of y = which equation represents g(x)?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Determine the vertex form of g(x) = x2 + 2x - 1. which graph represents g(x)? -nw -3-2-1, 1 1 2 3 -3 2- 1 -3- 1 2 3 - 1 2 3