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For the following two (02) items: Let A = pmatrix & - & pmatrix . What is the value of the determinant of the matrix A^4 ?

Options

  1. A0
  2. B1
  3. C4 - 4
  4. D^2 4 - ^2 4

Correct answer

B. 1

Step-by-step solution

The determinant of matrix A is given by: |A| = ( ) - (- ) |A| = ^2 + ^2 = 1 Using the property of determinants |A^n| = |A|^n , we have: |A^4| = |A|^4 = 1^4 = 1 Answer: 1

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