To evaluate:The value of the given determinant using diagonals.
Answer to Problem 6CYU
The value of the given determinant is
Explanation of Solution
Given information:The given determinant is
Calculation:
To find the value of determinant, rewrite the column 1 and column 2 to the right of determinant.
Now, find the product of elements of three diagonals from left to right.
The sum of first group is:
Find the product of elements of three diagonals from right to left.
The sum of second group is:
The difference of sum of second group from the sum of the first group is:
Therefore, the value of the given determinant is
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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