​Solve the System of Linear Equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$

question 24

Multiple Choice

​Solve the system of linear equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$ using an inverse matrix. ​

• A)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 1 } { 6 } \\\\
• \frac { - 1 } { 2 } \\\\
• \frac { 1 } { 3 }
• \end{array} \right]\] ​
• B)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\\\
• \frac { - 1 } { 2 } \\\\
• \frac { - 1 } { 3 }
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 2 }
• \end{array} \right]\]
• D)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 0 \\
• \frac { 1 } { 3 } \\
• \frac { - 1 } { 6 }
• \end{array} \right]\]
• E)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 3 }
• \end{array} \right]\]

Acknowledge the importance of updating and revising mental representations during navigation.

Understand the concept of spatial cognition and its components.

Familiarity with empirical evidence supporting theories of mental imagery.

Understand the principles proposed by Finke, including transformational, structural, spatial, and perceptual equivalence.

---

Definitions:

Coupon Interest Rate

The fixed rate of interest paid by a bond to its holder at specified intervals until maturity.

Market Interest Rate

The prevailing rate of interest determined by supply and demand in the money market that borrowers must pay and lenders receive.

Operating Lease

A contract that allows the use of an asset but does not convey rights of ownership, typically used for short-term leasing arrangements.

Capital Lease

A lease classified as a financial transaction where the lessee gains substantial control over an asset, treated like an asset purchase.