Chapter F, Problem 1ES

Evaluate. See Example 1.

1. $\lfloor \begin{array}{l}35\\ -17\end{array}\rfloor$

To determine

To evaluate:the givenexpression using matrices properties and mathematical methodologies.

Answer to Problem 1ES

The value of given expression in simplified form is $=26$ .

Explanation of Solution

Given information:

The given is below expression:

  $\left|\begin{array}{l}35\\ -17\end{array}\right|$

Calculation:

The given is below expression:

  $\left|\begin{array}{l}35\\ -17\end{array}\right|$

The given is in matrices form and required is its determinant, calculated as below:

  $\begin{array}{l}\left|\begin{array}{l}35\\ -17\end{array}\right|\\ =(3)(7)-(5)(-1)\\ =21+5\\ =26\end{array}$

Hence, the value of given expression in simplified form is $=26$ .