Homework Problem 1: For each parametric surface below, find the line element ds? using both methods: (i) parametric approach, (ii) analytic approach (a) A cylinder: o(u, v) = (r cos u, r sin u, v) |3D (b) A double cone: o(u, v) = (v cos u, v sin u, v) (c) A Monge patch: o(u, v) = (u, v, f(u, v)) |3|

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.