A person is ordered by a doctor to take 10 units of vitamin A, 9 units of vitamin D and 19 units of vitamin E each day. The person can choose from three brands of vitamin pills. Brand X contains 2 units of vitamin A, 3 units of vitamin D and 5 units of vitamin E. Brand Y has 1, 3 and 4 units respectively and Brand Z has 1 unit of vitamin A, none of vitamin D and 1 of vitamin E. (i) (ii) (iii) (iv) Write down the system of equations. Write down the augmented matrix. Use elementary row operations to convert the matrix to reduced row echelon form. Determine the solution to the system of equations.
A person is ordered by a doctor to take 10 units of vitamin A, 9 units of vitamin D and 19 units of vitamin E each day. The person can choose from three brands of vitamin pills. Brand X contains 2 units of vitamin A, 3 units of vitamin D and 5 units of vitamin E. Brand Y has 1, 3 and 4 units respectively and Brand Z has 1 unit of vitamin A, none of vitamin D and 1 of vitamin E. (i) (ii) (iii) (iv) Write down the system of equations. Write down the augmented matrix. Use elementary row operations to convert the matrix to reduced row echelon form. Determine the solution to the system of equations.
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 67SE: The top three sources of oil imports for the United States in the same year were Saudi Arabia,...
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Transcribed Image Text:A person is ordered by a doctor to take 10 units of vitamin A, 9 units of vitamin D and 19 units
of vitamin E each day. The person can choose from three brands of vitamin pills. Brand X
contains 2 units of vitamin A, 3 units of vitamin D and 5 units of vitamin E. Brand Y has 1, 3
and 4 units respectively and Brand Z has 1 unit of vitamin A, none of vitamin D and 1 of vitamin
E.
(i)
(ii)
(iii)
(iv)
Write down the system of equations.
Write down the augmented matrix.
Use elementary row operations to convert the matrix to reduced row echelon form.
Determine the solution to the system of equations.
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