Find the Determinant of the Matrix $$\left[ \begin{array} { c c } - \frac { 7 } { 3 } & \frac { 14 } { 3 } \\\\- 1 & \frac { 1 } { 3 }\end{array} \right]$$

question 47

Multiple Choice

Find the determinant of the matrix.​ $$\left[ \begin{array} { c c } - \frac { 7 } { 3 } & \frac { 14 } { 3 } \\\\- 1 & \frac { 1 } { 3 }\end{array} \right]$$ ​

• A) \(- \frac { 35 } { 17 }\)
• B) \(\frac { 13 } { 35 }\)
• C) \(\frac { 11 } { 35 }\)
• D) \(- \frac { 17 } { 35 }\)
• E) \(\frac { 35 } { 9 }\)

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Definitions:

Louis XIV

King of France (1643–1715) known as the Sun King, under whose reign France became a leading European power, notable for his patronage of the arts and the construction of the Palace of Versailles.

Portrait by Rigaud

Refers to a famous portrait of Louis XIV by Hyacinthe Rigaud, exemplifying the grandeur and power of the French monarchy in the early 18th century.

Symbolic

Symbolic refers to the use of symbols to represent ideas or concepts, often imbued with significant cultural, religious, or philosophical meanings.

Netherlandish Artist

Refers to an artist originating from the Netherlands, particularly during the Renaissance and Baroque periods.