Please solve #14

matrix [AI, associated with the 3 eigenvalues provided above in problem 12, are three column vectors collected in the mairis output of the MATIICAD conmand sigenvecstN) The eigen by the tuts the eigenvectors of |A] in a matrix containing tAi)(NtAs) ny tes and outputs the e eigeavecsA)962 -03 01 -0.192 0 9 then when (A] pre-multiplies ary of thes three eignvectors (A), them, it wall (a) rotate the vector. (b) increase its magnitude (c) shrink its magnitude (d) will not rotate the vector. (c) none of the above. 13 when interpolating with the cubic spline through a set of-1,2.N data pairs (z, ) a) in addition to supplying the data pairs one must supply two additional end conditions (b) clamped conditions refer to enforcing the values for the slopes at the left and right endpoints. (c) natural or free end conditions refer to specifying second derivatives at the left and right endpoints to zero. id) the continuity of the second and third derivative at the interior data points is enforced. (c) none of the above, 14. The R' negnession coefficient computed in a least-squares fit is (a) is the Sum of the Squares of the data (b) is the Sum of the Squares of the deviation of the data from their means (e) a normalized Sum of the Squares of the errors in the least-squares curve fit normalized with the data variance (d) a measure of the goodness of fit of the least squares curve fit (e) none of the above