Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 16.8, Problem 6WE
To determine

To calculate: The value of the determinant,

  |141212128166|

Expert Solution & Answer
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Answer to Problem 6WE

The value of the determinant is 204 .

Explanation of Solution

Given information:

The determinant:

  |141212128166|

Formula used:

For the matrix of order 2×2 ,

  A=[pqrs]

The determinant is given as |A|=psqr .

Calculation:

Consider the determinant

  |141212128166|

The value of new determinant is same as the original one if all entries of either a row or a column are multiplied by a real number k , and the resultant products are added to corresponding entries of either another row or another column.

Add the corresponding entries of row two to row one,

  |141212128166|=|1+142121212128166|=|02012128166|

Recall that for the matrix of order 2×2 ,

  A=[pqrs]

The determinant is given as |A|=psqr .

Expand by minors about first row,

  |141212128166|=|02012128166|=02|11286|+0=2(6+96)=204

Thus, the value of the determinant is 204 .

Chapter 16 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 16.1 - Prob. 11OECh. 16.1 - Prob. 12OECh. 16.1 - Prob. 13OECh. 16.1 - Prob. 14OECh. 16.1 - Prob. 15OECh. 16.1 - Prob. 16OECh. 16.1 - Prob. 17OECh. 16.1 - Prob. 18OECh. 16.1 - Prob. 1WECh. 16.1 - Prob. 2WECh. 16.1 - Prob. 3WECh. 16.1 - Prob. 4WECh. 16.1 - Prob. 5WECh. 16.1 - Prob. 6WECh. 16.1 - Prob. 7WECh. 16.1 - Prob. 8WECh. 16.1 - Prob. 9WECh. 16.1 - Prob. 10WECh. 16.1 - Prob. 11WECh. 16.1 - Prob. 12WECh. 16.1 - Prob. 13WECh. 16.1 - Prob. 14WECh. 16.1 - Prob. 15WECh. 16.1 - Prob. 16WECh. 16.1 - Prob. 17WECh. 16.1 - Prob. 18WECh. 16.1 - Prob. 19WECh. 16.1 - Prob. 20WECh. 16.1 - Prob. 21WECh. 16.1 - Prob. 22WECh. 16.1 - Prob. 1MRECh. 16.1 - Prob. 2MRECh. 16.1 - Prob. 3MRECh. 16.1 - Prob. 4MRECh. 16.1 - Prob. 5MRECh. 16.1 - Prob. 6MRECh. 16.1 - Prob. 7MRECh. 16.1 - Prob. 8MRECh. 16.2 - Prob. 1OECh. 16.2 - Prob. 2OECh. 16.2 - Prob. 3OECh. 16.2 - Prob. 4OECh. 16.2 - Prob. 5OECh. 16.2 - Prob. 6OECh. 16.2 - Prob. 7OECh. 16.2 - Prob. 8OECh. 16.2 - Prob. 9OECh. 16.2 - Prob. 10OECh. 16.2 - Prob. 11OECh. 16.2 - Prob. 12OECh. 16.2 - Prob. 13OECh. 16.2 - Prob. 1WECh. 16.2 - Prob. 2WECh. 16.2 - Prob. 3WECh. 16.2 - Prob. 4WECh. 16.2 - Prob. 5WECh. 16.2 - Prob. 6WECh. 16.2 - Prob. 7WECh. 16.2 - Prob. 8WECh. 16.2 - Prob. 9WECh. 16.2 - Prob. 10WECh. 16.2 - Prob. 11WECh. 16.2 - Prob. 12WECh. 16.2 - Prob. 13WECh. 16.2 - Prob. 14WECh. 16.2 - Prob. 15WECh. 16.2 - Prob. 16WECh. 16.2 - Prob. 17WECh. 16.2 - Prob. 18WECh. 16.2 - Prob. 19WECh. 16.2 - Prob. 20WECh. 16.2 - Prob. 21WECh. 16.2 - Prob. 22WECh. 16.2 - Prob. 23WECh. 16.2 - Prob. 24WECh. 16.2 - Prob. 25WECh. 16.2 - Prob. 26WECh. 16.2 - Prob. 27WECh. 16.2 - Prob. 28WECh. 16.3 - Prob. 1OECh. 16.3 - Prob. 2OECh. 16.3 - Prob. 3OECh. 16.3 - Prob. 4OECh. 16.3 - Prob. 5OECh. 16.3 - Prob. 6OECh. 16.3 - Prob. 7OECh. 16.3 - Prob. 8OECh. 16.3 - Prob. 9OECh. 16.3 - Prob. 10OECh. 16.3 - Prob. 11OECh. 16.3 - Prob. 12OECh. 16.3 - Prob. 13OECh. 16.3 - Prob. 14OECh. 16.3 - Prob. 15OECh. 16.3 - Prob. 16OECh. 16.3 - Prob. 1WECh. 16.3 - Prob. 2WECh. 16.3 - Prob. 3WECh. 16.3 - Prob. 4WECh. 16.3 - Prob. 5WECh. 16.3 - Prob. 6WECh. 16.3 - Prob. 7WECh. 16.3 - Prob. 8WECh. 16.3 - Prob. 9WECh. 16.3 - Prob. 10WECh. 16.3 - Prob. 11WECh. 16.3 - Prob. 12WECh. 16.3 - Prob. 13WECh. 16.3 - Prob. 14WECh. 16.3 - Prob. 15WECh. 16.3 - Prob. 16WECh. 16.3 - Prob. 17WECh. 16.3 - Prob. 18WECh. 16.3 - Prob. 19WECh. 16.3 - Prob. 20WECh. 16.3 - Prob. 21WECh. 16.3 - Prob. 22WECh. 16.3 - Prob. 23WECh. 16.3 - Prob. 24WECh. 16.3 - Prob. 25WECh. 16.3 - Prob. 26WECh. 16.3 - Prob. 27WECh. 16.3 - Prob. 28WECh. 16.3 - Prob. 29WECh. 16.3 - Prob. 30WECh. 16.3 - Prob. 1MRECh. 16.3 - Prob. 2MRECh. 16.3 - Prob. 3MRECh. 16.3 - Prob. 4MRECh. 16.3 - Prob. 5MRECh. 16.3 - Prob. 6MRECh. 16.3 - Prob. 7MRECh. 16.3 - Prob. 8MRECh. 16.3 - Prob. 9MRECh. 16.4 - Prob. 1OECh. 16.4 - Prob. 2OECh. 16.4 - Prob. 3OECh. 16.4 - Prob. 4OECh. 16.4 - Prob. 1WECh. 16.4 - Prob. 2WECh. 16.4 - Prob. 3WECh. 16.4 - Prob. 4WECh. 16.4 - Prob. 5WECh. 16.4 - Prob. 6WECh. 16.4 - Prob. 7WECh. 16.4 - Prob. 8WECh. 16.4 - Prob. 9WECh. 16.4 - Prob. 10WECh. 16.4 - Prob. 11WECh. 16.4 - Prob. 12WECh. 16.4 - Prob. 13WECh. 16.4 - Prob. 14WECh. 16.4 - Prob. 15WECh. 16.4 - Prob. 16WECh. 16.4 - Prob. 17WECh. 16.4 - Prob. 18WECh. 16.4 - Prob. 1STCh. 16.4 - Prob. 2STCh. 16.4 - Prob. 3STCh. 16.4 - Prob. 4STCh. 16.4 - Prob. 5STCh. 16.4 - Prob. 6STCh. 16.4 - Prob. 7STCh. 16.4 - Prob. 8STCh. 16.4 - Prob. 9STCh. 16.4 - Prob. 1ECh. 16.4 - Prob. 2ECh. 16.4 - Prob. 3ECh. 16.4 - Prob. 4ECh. 16.4 - Prob. 5ECh. 16.4 - Prob. 6ECh. 16.5 - Prob. 1OECh. 16.5 - Prob. 2OECh. 16.5 - Prob. 3OECh. 16.5 - Prob. 4OECh. 16.5 - Prob. 5OECh. 16.5 - Prob. 6OECh. 16.5 - Prob. 7OECh. 16.5 - Prob. 8OECh. 16.5 - Prob. 1WECh. 16.5 - Prob. 2WECh. 16.5 - Prob. 3WECh. 16.5 - Prob. 4WECh. 16.5 - Prob. 5WECh. 16.5 - Prob. 6WECh. 16.5 - Prob. 7WECh. 16.5 - Prob. 8WECh. 16.5 - Prob. 9WECh. 16.5 - Prob. 10WECh. 16.5 - Prob. 11WECh. 16.5 - Prob. 12WECh. 16.5 - Prob. 13WECh. 16.5 - Prob. 14WECh. 16.5 - Prob. 15WECh. 16.5 - Prob. 16WECh. 16.5 - Prob. 17WECh. 16.5 - Prob. 18WECh. 16.5 - Prob. 19WECh. 16.5 - Prob. 20WECh. 16.5 - Prob. 1MRECh. 16.5 - Prob. 2MRECh. 16.5 - Prob. 3MRECh. 16.5 - Prob. 4MRECh. 16.5 - Prob. 5MRECh. 16.5 - Prob. 6MRECh. 16.5 - Prob. 7MRECh. 16.5 - Prob. 8MRECh. 16.5 - Prob. 9MRECh. 16.6 - Prob. 1OECh. 16.6 - Prob. 2OECh. 16.6 - Prob. 3OECh. 16.6 - Prob. 4OECh. 16.6 - Prob. 5OECh. 16.6 - Prob. 6OECh. 16.6 - Prob. 7OECh. 16.6 - Prob. 8OECh. 16.6 - Prob. 9OECh. 16.6 - Prob. 10OECh. 16.6 - Prob. 11OECh. 16.6 - Prob. 12OECh. 16.6 - Prob. 13OECh. 16.6 - Prob. 1WECh. 16.6 - Prob. 2WECh. 16.6 - Prob. 3WECh. 16.6 - Prob. 4WECh. 16.6 - Prob. 5WECh. 16.6 - Prob. 6WECh. 16.6 - Prob. 7WECh. 16.6 - Prob. 8WECh. 16.6 - Prob. 9WECh. 16.6 - Prob. 10WECh. 16.6 - Prob. 11WECh. 16.6 - Prob. 12WECh. 16.6 - Prob. 13WECh. 16.6 - Prob. 14WECh. 16.6 - Prob. 15WECh. 16.6 - Prob. 16WECh. 16.6 - Prob. 17WECh. 16.6 - Prob. 18WECh. 16.6 - Prob. 19WECh. 16.6 - Prob. 20WECh. 16.6 - Prob. 1STCh. 16.6 - Prob. 2STCh. 16.6 - Prob. 3STCh. 16.6 - Prob. 4STCh. 16.7 - Prob. 1OECh. 16.7 - Prob. 2OECh. 16.7 - Prob. 3OECh. 16.7 - Prob. 4OECh. 16.7 - Prob. 5OECh. 16.7 - Prob. 6OECh. 16.7 - Prob. 1WECh. 16.7 - Prob. 2WECh. 16.7 - Prob. 3WECh. 16.7 - Prob. 4WECh. 16.7 - Prob. 5WECh. 16.7 - Prob. 6WECh. 16.7 - Prob. 7WECh. 16.7 - Prob. 8WECh. 16.7 - Prob. 9WECh. 16.7 - Prob. 10WECh. 16.7 - Prob. 11WECh. 16.7 - Prob. 12WECh. 16.7 - Prob. 13WECh. 16.7 - Prob. 14WECh. 16.7 - Prob. 15WECh. 16.7 - Prob. 16WECh. 16.7 - Prob. 17WECh. 16.7 - Prob. 18WECh. 16.7 - Prob. 19WECh. 16.7 - Prob. 1MRECh. 16.7 - Prob. 2MRECh. 16.7 - Prob. 3MRECh. 16.7 - Prob. 4MRECh. 16.7 - Prob. 5MRECh. 16.7 - Prob. 6MRECh. 16.8 - Prob. 1OECh. 16.8 - Prob. 2OECh. 16.8 - Prob. 3OECh. 16.8 - Prob. 4OECh. 16.8 - Prob. 1WECh. 16.8 - Prob. 2WECh. 16.8 - Prob. 3WECh. 16.8 - Prob. 4WECh. 16.8 - Prob. 5WECh. 16.8 - Prob. 6WECh. 16.8 - Prob. 7WECh. 16.8 - Prob. 8WECh. 16.8 - Prob. 9WECh. 16.8 - Prob. 10WECh. 16.8 - Prob. 11WECh. 16.8 - Prob. 12WECh. 16.8 - Prob. 13WECh. 16.8 - Prob. 14WECh. 16.8 - Prob. 15WECh. 16.9 - Prob. 1OECh. 16.9 - Prob. 2OECh. 16.9 - Prob. 3OECh. 16.9 - Prob. 4OECh. 16.9 - Prob. 5OECh. 16.9 - Prob. 6OECh. 16.9 - Prob. 7OECh. 16.9 - Prob. 8OECh. 16.9 - Prob. 9OECh. 16.9 - Prob. 10OECh. 16.9 - Prob. 11OECh. 16.9 - Prob. 12OECh. 16.9 - Prob. 13OECh. 16.9 - Prob. 14OECh. 16.9 - Prob. 15OECh. 16.9 - Prob. 16OECh. 16.9 - Prob. 1WECh. 16.9 - Prob. 2WECh. 16.9 - Prob. 3WECh. 16.9 - Prob. 4WECh. 16.9 - Prob. 5WECh. 16.9 - Prob. 6WECh. 16.9 - Prob. 7WECh. 16.9 - Prob. 8WECh. 16.9 - Prob. 9WECh. 16.9 - Prob. 10WECh. 16.9 - Prob. 11WECh. 16.9 - Prob. 12WECh. 16.9 - Prob. 13WECh. 16.9 - Prob. 14WECh. 16.9 - Prob. 15WECh. 16.9 - Prob. 16WECh. 16.9 - Prob. 17WECh. 16.9 - Prob. 18WECh. 16.9 - Prob. 19WECh. 16.9 - Prob. 1MRECh. 16.9 - Prob. 2MRECh. 16.9 - Prob. 3MRECh. 16.9 - Prob. 4MRECh. 16.9 - Prob. 5MRECh. 16.9 - Prob. 6MRECh. 16.9 - Prob. 7MRECh. 16.9 - Prob. 1STCh. 16.9 - Prob. 2STCh. 16.9 - Prob. 3STCh. 16 - Prob. 1CRCh. 16 - Prob. 2CRCh. 16 - Prob. 3CRCh. 16 - Prob. 4CRCh. 16 - Prob. 5CRCh. 16 - Prob. 6CRCh. 16 - Prob. 7CRCh. 16 - Prob. 8CRCh. 16 - Prob. 9CRCh. 16 - Prob. 10CRCh. 16 - Prob. 1CTCh. 16 - Prob. 2CTCh. 16 - Prob. 3CTCh. 16 - Prob. 4CTCh. 16 - Prob. 5CTCh. 16 - Prob. 6CTCh. 16 - Prob. 7CTCh. 16 - Prob. 8CTCh. 16 - Prob. 9CTCh. 16 - Prob. 10CTCh. 16 - Prob. 11CTCh. 16 - Prob. 12CTCh. 16 - Prob. 13CTCh. 16 - Prob. 14CTCh. 16 - Prob. 15CT

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