Explanation Given: The given example of the matrix in which the entries are consecutive integers is, [ 4 5 6 7 8 9 10 11 12 ] Approach: The method to find the determinant of square matrices of dimension n × n by using the graphing calculator is as follows, Press the button 2 n d x - 1 in the graphing device to enter the matrix. Select the option E D I T and change the order of the matrix. Enter the entries of the matrix. Quit the screen. Again press the button 2 n d x - 1 and select the option MATH , then navigate the arrow to select the function d e t ( [ A ] ) enter the matrix A to find the determinant of the entered matrix. Calculation: Consider a matrix A , in which the entries are consecutive integers, A = [ 0 1 2 3 4 5 6 7 8 ] Take the graphing calculator in performing condition, press the button 2 n d x - 1 in the graphing device to enter the matrix. Select the option E D I T and change the order of the matrix then enter the entries of the given matrix as shown in the below, Figure ( 1 ) Quit the screen. Again press the button 2 n d x - 1 and select the option MATH , then choose the function d e t ( [ A ] ) to find the determinant of the entered matrix. Figure ( 2 ) Therefore, the determinant of the matrix A is 0 . Consider a matrix B , in which the entries are consecutive integers, B = [ 1 2 3 4 5 6 7 8 9 ] Take the graphing calculator in performing condition, press the button 2 n d x - 1 in the graphing device to enter the matrix. Select the option E D I T and change the order of the matrix then enter the entries of the given matrix as shown in the below, Figure ( 3 ) Quit the screen. Again press the button 2 n d x - 1 and select the option MATH , then choose the function d e t ( [ A ] ) to find the determinant of the entered matrix To determine (b) To verify: The concluded conjecture.

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ISBN: 9781337683074

Author: Larson

Publisher: CENGAGE L

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Chapter 8.4, Problem 96E

To determine

(a)

To find:

The determinants of the four matrices same as the given example of the matrix by using the graphing utility and make a conjecture based on the results.

To determine

(b)

To verify:

The concluded conjecture.

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Chapter 8.4, Problem 95E

Chapter 8.4, Problem 97E

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Chapter 8 Solutions

PRECALCULUS-WEBASSIGN EPIN K12 ACCESS

Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

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(a) To find: The determinants of the four matrices same as the given example of the matrix by using the graphing utility and make a conjecture based on the results.

Solution Summary: The author explains how to find the determinant of a square matrix having consecutive integers as entries by using the graphing utility.