Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Practice Questions
Q1
Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
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Questions & Step-by-Step Solutions
Find the determinant of the matrix | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Correct Answer: 1
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.
Determinant of a Matrix – The determinant is a scalar value that can be computed from the elements of a square matrix and reflects certain properties of the matrix, such as whether it is invertible.
Identity Matrix – The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, and its determinant is always 1.
