What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?

₹0.0

Question: What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?

Options:

Correct Answer: 0

Solution:

The determinant can be calculated using the formula for 3x3 matrices. Here, the first column is the same, leading to a determinant of 0.

What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?

What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?

Step 1: Identify the matrix H, which is H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]].
Step 2: Notice that the first column of the matrix is the same for all rows: [1, 1, 1].
Step 3: Recall that if any two columns (or rows) of a matrix are the same, the determinant is 0.
Step 4: Since the first column is the same in all rows, we conclude that the determinant of matrix H is 0.

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