Sec3.3: Determinants Applications

  1. Use the Cramer's rule to solve the following system.   solution

    2. \(x_1-2x_2=5, \quad 3x_1+x_2=1 \)


  2. Find the inverse of the matrix.    solution

    3. \(A=\left[\begin{array}{rr}{2} & {1} \\ {-1} & {2} \end{array}\right]\)

     

  3. Find the inverse of the matrix.   solution

    4. \(A=\left[\begin{array}{rrr}{-2} & {-4} & {-3}\\ {1} & {2} & {4} \\ {0} & {1} & {5} \end{array}\right] \)