To calculate: The value of the determinant,
Answer to Problem 11WE
The value of the determinant is
Explanation of Solution
Given information:
The determinant:
Formula used:
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.
Calculation:
Consider the determinant
Recall that 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 elements of column two to column one.
Add the corresponding elements of column four to column two.
Observe that all entries of second column are zero.
Recall that if either an entire row or an entire column is 0 then the value of determinant is 0.
Therefore,
Thus, the value of the determinant is
Chapter 16 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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