Question

Let A be a 2x2 matrix 6 -3 -4 2 first, find all vectors V so...

Let A be a 2x2 matrix

6 -3

-4 2

first, find all vectors V so the distance between AV and the unit basis vector e_1 is minimized, call this set of all vectors L.

Second, find the unique vector V0 in L such that V0 is orthogonal to the kernel of A.

Question: What is the x-coordinate of the vector V0 equal to. ?/?

(the answer is a fraction which the sum of numerator and denominator is 71)

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