1. Let a = (5, –8, 0, 3) and b = (0, 2, –4, 3). (a) Calculate (2b – 4a) (b) Calculate (2b – 4a) · (b + 2a) (c) Calculate || a || and || b || (d) Show that the Triangle Inequality applies in this case. 2. Consider the following matrix: -2 1 A = 3 5 3 1 -2 -1

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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.