Mathematics 1229A/B Lecture Notes - Transpose, Diagonal Matrix, Row And Column Vectors

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Prof

Document Summary

Matrix operations (text reference: section 3. 1) c(cid:13)v. olds 2010. At the beginning of unit 6, we de ned the mathematical construct called a matrix. Next we learn more about matrices, especially how to do matrix arithmetic. First, we should review the de nition of a matrix. And de ne one more term, that we didn"t need in what we have done so far. De nition: a matrix is a rectangular array of numbers: a11 a21 a12 a22 a13 a23 am1 am2 am3 a1n a2n amn. The horizontal lines of numbers are called rows and the vertical lines of numbers are called columns. The number, aij, in row i and column j is called the (i,j)-entry of the matrix. A matrix with m rows and n columns is called an m n matrix (pronounced. The numbers m and n are called the dimensions of the matrix.