a.
To find: the determinant of the diagonal matrix. Make a conjecture based on results.
a.
Answer to Problem 84E
The determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
Explanation of Solution
Given information: Given matrix is,
Formula used:
Calculation:
So, it is clear from the result that the determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
b.
To find: the determinant of the diagonal matrix. Make a conjecture based on results
b.
Answer to Problem 84E
The determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
Explanation of Solution
Given information: Given matrix is,
Formula used:
Leibniz formula;
The Leibniz formula for the determinant of a 3 × 3 matrix:
Calculation:
So, it is clear from the result that the determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
b.
To find: the determinant of the diagonal matrix. Make a conjecture based on results
b.
Answer to Problem 84E
The determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
Explanation of Solution
Given information: Given matrix is,
Calculation:
Since ,the determinate of the diagonal matrix is equal to the product of all entries from main diagonal.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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