To calculate: The value of the determinant,
Answer to Problem 8WE
The value of the determinant is
Explanation of Solution
Given information:
The determinant:
Formula used:
For the matrix of order
The determinant is given as
Calculation:
Consider the determinant
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.
Multiply the entries of column three by
Multiply the entries of rowtwo by
Multiply the entries of row one by
Recall that for the matrix of order
The determinant is given as
Expand by minors about third row,
Thus, the value of the determinant is
Chapter 16 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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