What is the determinant of H = [[3, 2], [1, 4]]? (2020)

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Question: What is the determinant of H = [[3, 2], [1, 4]]? (2020)

Options:

Correct Answer: 10

Exam Year: 2020

Solution:

The determinant of H is (3*4) - (2*1) = 12 - 2 = 10.

What is the determinant of H = [[3, 2], [1, 4]]? (2020)

What is the determinant of H = [[3, 2], [1, 4]]? (2020)

Step 1: Identify the matrix H, which is [[3, 2], [1, 4]].
Step 2: Write down the formula for the determinant of a 2x2 matrix, which is (a*d) - (b*c).
Step 3: Assign the values from the matrix to the variables: a = 3, b = 2, c = 1, d = 4.
Step 4: Calculate a*d, which is 3*4 = 12.
Step 5: Calculate b*c, which is 2*1 = 2.
Step 6: Subtract the result of b*c from a*d: 12 - 2 = 10.
Step 7: Conclude that the determinant of H is 10.

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