Let U={U1, U2} and W{W1, W2} be bases for V, and let P be a matrix whose columns are,[u1]W and [u2]W ,which of the following equations is satisfied by P for all x in V? 1. [X ] U=P[ X ]W
2. [ X] W=P[ X ]U

[x]W = P[X]U

Step-by-step explanation:

In this context [x]U means the coordinate vector of vector x in the basis U. We are given that P has the coordinates of the vectors of basis U in the basis W. This means, that P translates the coordinates in U basis to the coordinates of a vector in the W basis. So, given a vector [x]U (coordinates in the U basis) then, by multiplying by P, we get the coordinates of x in the W basis. That is

[x]W = P[X]U.

answer: it is 1: 47 pm

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.