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Calculate the determinant of the matrix [[1, 2], [3, 4]].
Calculate the determinant of the matrix [[1, 2], [3, 4]].
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Practice Questions
1 question
Q1
Calculate the determinant of the matrix [[1, 2], [3, 4]].
-2
2
0
4
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Determinant = (1*4) - (2*3) = 4 - 6 = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: Calculate the determinant of the matrix [[1, 2], [3, 4]].
Solution:
Determinant = (1*4) - (2*3) = 4 - 6 = -2.
Steps: 7
Show Steps
Step 1: Identify the elements of the matrix. The matrix is [[1, 2], [3, 4]]. This means: a = 1, b = 2, c = 3, d = 4.
Step 2: Use the formula for the determinant of a 2x2 matrix, which is Det = (a * d) - (b * c).
Step 3: Substitute the values into the formula: Det = (1 * 4) - (2 * 3).
Step 4: Calculate the first part: 1 * 4 = 4.
Step 5: Calculate the second part: 2 * 3 = 6.
Step 6: Subtract the second part from the first part: 4 - 6 = -2.
Step 7: The determinant of the matrix is -2.
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