管理數學 Chapter 2 System of linear Equations b
1 管理數學 Chapter 2: System of Linear Equations XX. XX, XXX by XXXX
Agenda Linear Systems as Mathematical models Linear Systems Having One or no solutions Linear Systems having Many Solutions
2 Agenda Linear Systems as Mathematical Models Linear Systems Having One or No Solutions Linear Systems Having Many Solutions
Linear <- Line a,X+ a2 y=b or 日AX+日2Xtan,X nn b
3 Linear <-- Line a1 x + a2 y = b or a1 x1 + a2 x2 +....+ an xn = b
Which one is linear 2X+3y=4 2+y2= 7-X2+X 3 =6 z=5-3X+y/2 sinⅹ+ey=1 =2 7X1+3X2+9/X2+2X4=1 X1+2X2+3x3+…+nXn=1
4 2x + 3y = 4 x 2 + y 2 = 1 x1 - x2 + x3 - x4 = 6 z = 5 - 3x + y/2 sin x + e y = 1 xy = 2 7x1 + 3x2 + 9/x3 + 2x4 = 1 x1 + 2x2 + 3x3 +....+ nxn = 1 Which one is linear?
Example 1 A firm produces bargain and deluxe TV sets by buying the components, assembling them, and testing the sets before shipping
5 Example 1 A firm produces bargain and deluxe TV sets by buying the components, assembling them, and testing the sets before shipping