Linear Algebra and Its Applications notes

MAT1503 Assignment 5 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references .... Question 1: 12 Marks (1.1) Let U and V be the planes given by: (2) U : λx + 5y − 2λz − 3 = 0, V : −λx + y + 2z + 1 = 0. Determine for which value(s) of λ the planes U and V are: (a) orthogonal, (2) (b) Parallel. (2) (1.2) Find an equation for the plane that passes through the origin (0, 0, 0) and is parallel to ...

Summary with examples, exercises and some proofs

MAT1503 Assignment 5 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references .... Question 1: 12 Marks (1.1) Let U and V be the planes given by: (2) U : λx + 5y − 2λz − 3 = 0, V : −λx + y + 2z + 1 = 0. Determine for which value(s) of λ the planes U and V are: (a) orthogonal, (2) (b) Parallel. (2) (1.2) Find an equation for the plane that passes through the origin (0, 0, 0) and is parallel to ...

Summary with examples, exercises and some proofs