MATH136 Lecture Notes - Lecture 13: Transpose, Kazakhstani Tenge, Scalar Multiplication

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MATH136 Full Course Notes
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MATH136 Full Course Notes
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Monday, february 3 lecture 13 : matrix multiplication. Concepts: matrix multiplication, multiplying two matrices, block-multiplying two matrices. 13. 1 definition of matrix multiplication between two matrices a and b of dimension m n and n k, respectively. 13. 1. 1 examples compute the (2, 3)th entry of the product of the given matrices d and e. 13. 1. 2 example compute the (2, 3)th entry of the product etdt for the matrices d and e above. 13. 1. 3 definition let an n = [aij] be a square matrix. The entries {a11, a22, a33, ann} is referred to as being the main diagonal of a. The matrix a is called the identity matrix of dimension n, if every element on the main diagonal of a is 1 while all others are zero. That is, aii = 1 for all i = 1 to n and aij = 0 whenever i j. The identity matrix is denoted by i or in n.

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