(Solved): MATLAB Linear Algebra Problem 2. (3 points) Consider the matrix The MATLAB code to produce D is gi ...

MATLAB Linear Algebra

Problem 2. (3 points) Consider the matrix The MATLAB code to produce D is given by: D = [1,9,6,-8,-8,1, -3; 2,7, 0, 7, 1,4,0; -9,2,2,-4, -6,3,6] Let: where each v? is given by the i-th column of D. (a) Find (v? × (V? × V3)) · V4. Answer: (b) Find the volume of the parallelepiped defined by V5, V6 and V7. Volume = units3 (c) Find the Cartesian equation of the plane parallel to the vectors V4 and v5 that contains the point P = = (7, 2, 5). Give your answer as an equation in terms of x, y, z. Enter the equation here: 1 -3 2 7 -9 2 0 7 2 -4 1 4 0 -6 3 6 V? = (1, 2, ?9), v? = (9, 7, 2), V3 = (6, 0, 2), v? = (–8, 7, –4), v5 = (–8, 1, ?6), v6 = (1, 4, 3), v7 = (?3, 0, 6) D = 9 6 -8 -8 1