Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { r } 3 x + y + z - 2 w = 10 \\2 x + 3 y + 3 z + w = - 5 \\2 x + y + 4 z + 11 w = 11\end{array}$$

question 47

Multiple Choice

Apply Gaussian Elimination to Systems with More Variables than Equations
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } 3 x + y + z - 2 w = 10 \\2 x + 3 y + 3 z + w = - 5 \\2 x + y + 4 z + 11 w = 11\end{array}$$

• A) \(\{ ( w + 5,3 w - 7 , - 4 w + 2 , w ) \}\)
• B) \(\{ ( 2 w + 3,6 w - 7 , - 10 w + 8 , w ) \}\)
• C) \(\{ ( 6 , - 4 , - 2,1 ) \}\)
• D) \(\{ ( 7 , - 1 , - 6,2 ) \}\)

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Definitions:

Meiosis II

The second division phase in meiosis, similar to mitosis, where the sister chromatids of each chromosome are separated into four haploid daughter cells.

Sister Chromatids

Identical copies of a chromosome connected by a centromere, formed during the replication phase of cell division.

Cytokinesis

Cytoplasmic division; process in which a eukaryotic cell divides in two after mitosis or meiosis.

Sexual Reproduction

The biological process where organisms create offspring by combining genetic material from two different sexes.