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) Write down the system of equations. Write down the augmented matrix. Use elementary row operations to convert the matrix to reduced row echelon form.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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Please assist with iii

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.
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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i cannot diffreciate between your Z's and T's in part iv explanation. Please help 

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can you assit with part (iv) ?

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