What is the determinant of G = [[2, 2], [2, 2]]? (2020)

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Question: What is the determinant of G = [[2, 2], [2, 2]]? (2020)

Options:

Correct Answer: 0

Exam Year: 2020

Solution:

Det(G) = (2*2) - (2*2) = 4 - 4 = 0.

What is the determinant of G = [[2, 2], [2, 2]]? (2020)

What is the determinant of G = [[2, 2], [2, 2]]? (2020)

Step 1: Identify the matrix G. In this case, G is a 2x2 matrix: [[2, 2], [2, 2]].
Step 2: Recall the formula for the determinant of a 2x2 matrix. The formula is: Det(G) = (a*d) - (b*c), where G = [[a, b], [c, d]].
Step 3: Assign the values from the matrix to the variables: a = 2, b = 2, c = 2, d = 2.
Step 4: Plug the values into the determinant formula: Det(G) = (2*2) - (2*2).
Step 5: Calculate (2*2) which equals 4.
Step 6: Calculate (2*2) again which also equals 4.
Step 7: Subtract the second result from the first: 4 - 4 = 0.
Step 8: Conclude that the determinant of G is 0.

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