Question: 1 In problems 13 below the following notation will be used: v1 = 5 , 1 1 3 v2 = 1 , V3 2 2

1 In problems 13 below the following notation
1 In problems 13 below the following notation will be used: v1 = 5 , 1 1 3 v2 = 1 , V3 2 2 . A denotes the 3 x 3 matrix [V1V2V3] which has 1 1 the vector vi for its i'th column. (1) (3 points) Let P132 denote the 2dimensional parallelpiped in R3 having v1, V2 for edges; and let P123, 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 P13. (b) Compute the volume of P133. (2) (3 points) Use Cramer's Rule to nd the solutions to the system of equations Ax = b, where b = [ 7:1 ] and x = [ E: ]

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