System of Linear EquationsMultiplevariables,multiple equations1-22+3+4= 1021+2c2+2c3+34=5—1— 42+ 4c3— 4 = 121+ 2—23+54= 1How to solve?
System of Linear Equations Multiple variables, multiple equations How to solve?
DeterminantArea of parallelogramhad-bc(c,d)(a,b)
Determinant • Area of parallelogram (a,b) (c,d)
3x3DeterminantVolume of parallelepiped(g,h,i)(d.,e,f)a.(a,b,c)=??def
3x3 Determinant • Volume of parallelepiped (a,b,c) (d,e,f) (g,h,i)
Nutritionproblem. Find a combinationof food A, B, C and D inorder to satisfy the nutrition requirementexactly.Food BFood CFoodAFood DRequirement95833Protein5151114Carbohydrate0.020.010.01VitaminA0.0030.0060.010.010.0050.050.01VitaminCHowto solve itusinglinearalgebra?
Nutrition problem • Find a combination of food A, B, C and D in order to satisfy the nutrition requirement exactly. Food A Food B Food C Food D Requirement Protein 9 8 3 3 5 Carbohydrate 15 11 1 4 5 Vitamin A 0.02 0.003 0.01 0.006 0.01 Vitamin C 0.01 0.01 0.005 0.05 0.01 How to solve it using linear algebra?