HW 11 1 In problems 1-3 below the following notation will be used: v] = 5 , 1 1 3 v2 = 1 , V3 = 2 . A denotes the 3 X 3 matrix [V1V2V3] which has 1 1 the vector v!- for its i'th column. (1) (3 points) Let 131,2 denote the 2dimensional parallelpiped in R3 having v1, v; for edges; and let P133, denote the 3dimensional parallelpiped in R3 having V1,V2, V3 for edges. (Picture the vi as directed line segments in R3 having the origin as their initial points). (a) Compute the area of 131,2. (b) Compute the volume of 131,23. (2) (3 points) Use Cramer's Rule to nd the solutions to the system of 1 $1 equations Ax = b, where b = 1 and x = :32 0 $3 (3) (4 points) (a) Use Theorem 6.3.9 to compute the inverse matrix A'l. (Show your work.) (b) Use Theorem 2.4.5 to compute the inverse matrix A'l. (Show your work.) Try the following problems in the text book (not to be graded): problems 3,13,14,24,26,30,33 in section 6.3