What is the determinant of J = [[2, 3], [4, 5]]? (2020)

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Question: What is the determinant of J = [[2, 3], [4, 5]]? (2020)

Options:

Correct Answer: 10

Exam Year: 2020

Solution:

The determinant of J is (2*5) - (3*4) = 10 - 12 = -2.

What is the determinant of J = [[2, 3], [4, 5]]? (2020)

What is the determinant of J = [[2, 3], [4, 5]]? (2020)

Step 1: Identify the matrix J, which is [[2, 3], [4, 5]].
Step 2: Write down the formula for the determinant of a 2x2 matrix, which is (a*d) - (b*c), where the matrix is [[a, b], [c, d]].
Step 3: Assign the values from the matrix J to the variables: a = 2, b = 3, c = 4, d = 5.
Step 4: Substitute the values into the determinant formula: (2*5) - (3*4).
Step 5: Calculate 2*5, which equals 10.
Step 6: Calculate 3*4, which equals 12.
Step 7: Subtract the second result from the first: 10 - 12.
Step 8: The final result is -2, which is the determinant of matrix J.

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