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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]]?
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What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?
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The determinant can be calculated using the formula for 3x3 matrices. Here, the first column is the same, leading to a determinant of 0.
Questions & Step-by-step Solutions
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Q: What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?
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.
Steps: 4
Show Steps
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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