Find a Basis for the Column Space of the Matrix $$B = \left[ \begin{array} { r r r r r } 1 & 0 & - 5 & 0 & - 3 \\0 & 1 & 4 & 0 & 4 \\0 & 0 & 0 & 1 & 1 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$

question 81

Multiple Choice

Find a basis for the column space of the matrix.
- $$B = \left[ \begin{array} { r r r r r } 1 & 0 & - 5 & 0 & - 3 \\0 & 1 & 4 & 0 & 4 \\0 & 0 & 0 & 1 & 1 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$

• A) \(\left\{ \left[ \begin{array} { l } 1 \\ 0 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { l } 0 \\ 1 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 5 \\ 4 \\ 0 \\ 0 \end{array} \right] \right\}\)
• B)
• \[\left\{ \left[ \begin{array} { l }
• 1 \\
• 0 \\
• 0 \\
• 0
• \end{array} \right] , \left[ \begin{array} { l }
• 0 \\
• 1 \\
• 0 \\
• 0
• \end{array} \right] , \left[ \begin{array} { l }
• 0 \\
• 0 \\
• 1 \\
• 0
• \end{array} \right] \right\}\]
• C)
• \[\left\{ \left[ \begin{array} { r }
• 5 \\
• - 4 \\
• 1 \\
• 0 \\
• 0
• \end{array} \right] , \left[ \begin{array} { r }
• 3 \\
• - 4 \\
• 0 \\
• - 1 \\
• 1
• \end{array} \right] \right\}\]
• D)
• \[\left\{ \left[ \begin{array} { l }
• 1 \\
• 0 \\
• 0 \\
• 0
• \end{array} \right] , \left[ \begin{array} { l }
• 0 \\
• 1 \\
• 0 \\
• 0
• \end{array} \right] \right\}\]

Analyze the relationship between price changes and total revenue.

Identify the elasticity section of the demand curve (elastic, inelastic, unit elastic).

Understand the effect of government policies on consumption based on price elasticity.

Interpret graphical representations of demand to determine elasticity.

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