What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
Practice Questions
Q1
What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
15
18
12
9
Questions & Step-by-Step Solutions
What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
Step 1: Identify the matrix A, which is given as [[1, 2, 3], [4, 5, 6], [7, 8, 9]].
Step 2: Find the diagonal elements of the matrix. The diagonal elements are those that go from the top left to the bottom right. In this case, they are 1 (from the first row), 5 (from the second row), and 9 (from the third row).
Step 3: Add the diagonal elements together. Calculate 1 + 5 + 9.
Step 4: The result of the addition is 15. This value is the trace of the matrix A.
