# Chapter 3 - Section 3.5 - Determinants and Cramer’s Rule - Concept and Vocabulary Check - Page 239: 1

The fill in the blanks is in red color. $= {\color{Red} 5}\cdot {\color{Red} 3} - {\color{Red} 2}\cdot {\color{Red} 4}={\color{Red} {15}}-{\color{Red} 8}={\color{Red} 7}$ and ${\color{Red} {determinant}}$ is ${\color{Red} 7}$.

#### Work Step by Step

The given matrix in the determinant form. \begin{vmatrix} 5 & 4\\ 2&3 \end{vmatrix} We multiply and subtract as shown below. $= 5\cdot 3 - 2\cdot 4$ $=15-8$ $=7$ this is the second order determinant whose value is $7$.

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