Question: What is the determinant of G = [[1, 2], [2, 4]]? (2020)
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Correct Answer: 0
Solution:
Determinant of G = (1*4) - (2*2) = 4 - 4 = 0.
What is the determinant of G = [[1, 2], [2, 4]]? (2020)
Practice Questions
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What is the determinant of G = [[1, 2], [2, 4]]? (2020)
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Questions & Step-by-Step Solutions
What is the determinant of G = [[1, 2], [2, 4]]? (2020)
Step 1: Identify the matrix G. In this case, G = [[1, 2], [2, 4]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is: determinant = (a * d) - (b * c), where the matrix is [[a, b], [c, d]].
Step 3: Assign the values from the matrix G to the variables: a = 1, b = 2, c = 2, d = 4.
Step 4: Substitute the values into the determinant formula: determinant = (1 * 4) - (2 * 2).
Step 5: Calculate the first part: 1 * 4 = 4.
Step 6: Calculate the second part: 2 * 2 = 4.
Step 7: Subtract the second part from the first part: 4 - 4 = 0.
Step 8: Conclude that the determinant of G is 0.
No concepts available.
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