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Find the determinant of the matrix \( \begin{pmatrix} a & b \\ c & d \en

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Question: Find the determinant of the matrix \\( \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix} \\).

Options:

  1. ad - bc
  2. bc - ad
  3. a + b + c + d
  4. a^2 + b^2

Correct Answer: ad - bc

Solution:

The determinant is given by the formula \\( ad - bc \\).

Find the determinant of the matrix \( \begin{pmatrix} a & b \\ c & d \en

Practice Questions

Q1
Find the determinant of the matrix \( \begin{pmatrix} a & b \\ c & d \end{pmatrix} \).
  1. ad - bc
  2. bc - ad
  3. a + b + c + d
  4. a^2 + b^2

Questions & Step-by-Step Solutions

Find the determinant of the matrix \( \begin{pmatrix} a & b \\ c & d \end{pmatrix} \).
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