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If f( ) = pmatrix & - & pmatrix , then what is f( ) ^2 equal to?

Options

  1. Apmatrix -1 & 0 0 & -1 pmatrix
  2. Bpmatrix 1 & 1 1 & 1 pmatrix
  3. Cpmatrix -1 & 0 0 & 1 pmatrix
  4. Dpmatrix 1 & 0 0 & 1 pmatrix

Correct answer

D. pmatrix 1 & 0 0 & 1 pmatrix

Step-by-step solution

Given f( ) = pmatrix & - & pmatrix Substituting = : f( ) = pmatrix & - & pmatrix = pmatrix -1 & 0 0 & -1 pmatrix Squaring the matrix: f( ) ^2 = pmatrix -1 & 0 0 & -1 pmatrix pmatrix -1 & 0 0 & -1 pmatrix = pmatrix 1 & 0 0 & 1 pmatrix

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