Find if the following systems of equations are consistent or not consistent. If they are consistent find the solution. If there are infinite number of solutions write all the solutions in terms of arbitrary variables.
1.
2.
3. Suppose
and
find (i)
(iii) Are these two matrices equal ?
BONUS PROBLEM
4. A dietician is preparing a meal consisting of foods A, B, and C. The amount of Protein , Fat, and Carbohydrate contained in each unit of each food
is given in the following table. If the meal has to provide exactly 25 units of Protein, 24 units of Fat, and 21 units of Carbohydrate, how many ounces of each type of food must be used ?
