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Calculate the determinant | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Calculate the determinant | 1 0 0 | | 0 1 0 | | 0 0 1 |.
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Q1
Calculate the determinant | 1 0 0 | | 0 1 0 | | 0 0 1 |.
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The determinant of the identity matrix is 1.
Questions & Step-by-step Solutions
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Q: Calculate the determinant | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Solution:
The determinant of the identity matrix is 1.
Steps: 4
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Step 1: Identify the matrix given in the question. The matrix is a 3x3 matrix: | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Step 2: Recognize that this matrix is called the identity matrix, which has 1s on the diagonal and 0s elsewhere.
Step 3: Understand that the determinant of the identity matrix is always 1, regardless of its size.
Step 4: Conclude that the determinant of the given matrix is 1.
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