MATH 240 Study Guide - Midterm Guide: Scalar Multiplication, Matrix Multiplication, Main Diagonal

• School: University of Maryland
• Department: Mathematics
• Course: MATH 240
• Professor: Raluca Rosca

Document Summary

This short compilation of notes is review for the exam on matrices. So in the last section, we used matrices to solve systems of linear equations without ever telling you what a matrix was. A matrix is an array of numbers enclosed by two brackets. [(cid:885) (cid:883) (cid:891)] (cid:887) (cid:888)(cid:889) (cid:882) (cid:886)(cid:887) (cid:884) columns. The size of a matrix is denoted by (cid:1853) (cid:1854) where (cid:1853) is the number of rows and (cid:1854) is the number of. So in the examples of matrices above, we see the first matrix is a (cid:884) (cid:883), the second is a (cid:883) (cid:883), and the third is a (cid:885) (cid:885). A matrix with the same number of rows and columns is called a square matrix because just like a square, the length and width are the same. Note that all matrix operations require you to have two matrices of the same size.