Solve Each System of Equations Using Matrices (Row Operations) $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

question 159

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

• A) \(\{ ( 27,14 , - 1,11 ) \}\)
• B) \(\{ ( 3,5 , - 5,1 ) \}\)
• C) \(\{ ( 2,7 , - 9,3 ) \}\)
• D) \(\{ ( 3 + w , 5 - 2 w , - 5 + 2 w , w ) \}\)

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Definitions:

Monohybrid Trait

A characteristic that is influenced by a single gene.

Alleles

Different versions of a gene, which can result in variations in the inherited characteristic that the gene controls.

Autosomal Dominant

A pattern of inheritance where a trait is expressed in individuals who have inherited only one copy of a gene mutation from one parent.

Autosomal Recessive

A pattern of inheritance where two copies of a mutated gene, one inherited from each parent, are necessary to express a recessive trait or disorder.