Question: Please help solving this practice exam question with details (1) Construct an example of a parallelepiped in 3-space providing the coordinates of all vertices (

Please help solving this practice exam question with details

Please help solving this practice exam question with details (1) Construct an

(1) Construct an example of a parallelepiped in 3-space providing the coordinates of all vertices ( refer to a figure below). B' C' D' A' B C A D Show that |AA' . (AD X AB) | = det V1 U1 U2 U3 V2 V3 W 1 W2 W3_ where AA' = (U1, U2, U3), AD = (V1, V2, V3), AB = (W1, W2, W3) (2) Construct a 3x3 non-triangular matrix, which has three distinct eigenvalues. Determine eigenvalues and corresponding eigenvectors

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