MATH 1025 Lecture Notes - Row And Column Vectors, Dot Product, Augmented Matrix
11 Apr 2023
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Recall that a matrix with m rows and n columns is said to have dimension (or size) m n. Matrices with only one column or only one row (i. e. m 1 matrices and 1 n matrices) are called vectors, e. g. dot products of vectors. Given two vectors of the same dimension x = the dot product of x and y is Calculate each of the following dot products on the left and match each to the option on the right corresponding to its value (provided the dot product makes sense). If the dot product is unde ned, explain why. Dot products (i) x x (ii) x y. Values (a) 1 (b) 0 (c) 2 (d) 26 (iii) x z (e) unde ned. Given an m n matrix a and an n 1 vector. Multiplying a column vector by a matrix is a special case of multiplying two matrices!
