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Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
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Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
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This is the identity matrix, and its determinant is 1.
Questions & Step-by-step Solutions
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Q: Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Solution:
This is the identity matrix, and its determinant is 1.
Steps: 4
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Step 1: Identify the matrix given. The matrix is | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Step 2: Recognize that this matrix is a special type of matrix called the identity matrix.
Step 3: Understand that the identity matrix has a specific property: its determinant is always 1.
Step 4: Conclude that the determinant of the given matrix is 1.
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