Linear Algebra Lec 1 PDF

BAS113 LINEAR ALGEBRA Dr. Amira A.Allam Dr. Mahmoud Owais [email protected] [email protected] Lec. 2 Introduction Numbers  Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. The values wh...

BAS113 LINEAR ALGEBRA Dr. Amira A.Allam Dr. Mahmoud Owais [email protected] [email protected] Lec. 2 Introduction Numbers  Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. The values which are known in the given expression such as numbers are called constants. Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constants as well as variables. For example, x+10 = 0. Like operations with numbers, operations with variables obey certain laws. 1. The commutative law tells us that we can change the order of the terms while performing addition or multiplication. a+b=b+a a*b=b*a 2. The associative law tells us that in addition or multiplication, we can associate the terms or factors as we are comfortable with. (a+b)+c=a+(b+c) 3. The distributive law deals with the combination of addition and multiplication. When a sum is multiplied by a value, the value is distributed to each part of the sum. a(b+c)=a(b)+a(c) Thank You