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What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)

Practice Questions

Q1
What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)
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Questions & Step-by-Step Solutions

What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)
  • Step 1: Understand what a determinant is. The determinant is a special number that can be calculated from a square matrix.
  • Step 2: Identify the matrix I. The matrix I is the identity matrix, which is [[1, 0, 0], [0, 1, 0], [0, 0, 1]].
  • Step 3: Recall the property of the identity matrix. The determinant of the identity matrix is always 1, regardless of its size.
  • Step 4: Conclude that since I is the identity matrix, its determinant is Det(I) = 1.
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