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What is the determinant of the matrix \( H = \begin{pmatrix} 1 & 0 & 0 \

Practice Questions

Q1
What is the determinant of the matrix \( H = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix} \)? (2022)
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Questions & Step-by-Step Solutions

What is the determinant of the matrix \( H = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix} \)? (2022)
  • Step 1: Identify the matrix H. The matrix H is given as H = [[1, 0, 0], [0, 1, 0], [0, 0, 1]].
  • Step 2: Recognize that this matrix is an identity matrix. An identity matrix has 1s on the diagonal and 0s elsewhere.
  • Step 3: Recall the property of the determinant of an identity matrix. The determinant of any identity matrix is always 1.
  • Step 4: Conclude that the determinant of the matrix H is 1.
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