Find the determinant of E = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. (2019)
Practice Questions
1 question
Q1
Find the determinant of E = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. (2019)
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Determinant of E = 0 (rows are linearly dependent).
Questions & Step-by-step Solutions
1 item
Q
Q: Find the determinant of E = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. (2019)
Solution: Determinant of E = 0 (rows are linearly dependent).
Steps: 6
Step 1: Understand what a determinant is. The determinant is a special number that can be calculated from a square matrix.
Step 2: Identify the matrix E. The matrix E is given as [[1, 2, 3], [4, 5, 6], [7, 8, 9]].
Step 3: Check if the rows of the matrix are linearly dependent. This means that one row can be made by adding or multiplying the other rows.
Step 4: Notice that if you add the first row [1, 2, 3] and the second row [4, 5, 6], you get [5, 7, 9], which is not equal to the third row [7, 8, 9]. However, if you look closely, you can see that the third row can be formed by a combination of the first two rows.
Step 5: Since the rows are linearly dependent, the determinant of the matrix E is 0.
