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Random Quiz # 8

CPS 6, Fall 1995

Due: November 29

Problem 1: Michael's array order (at the beach) (3 pts)

Write the function KthColumnSum whose header is given below. The function returns the sum of the values in column k of two-dimensional array mat. 
    int KthColumnSum(const Matrix<int> & mat, int k, int numRows)
    // precondition: 0 <= k < mat.Cols()
    //               numRows = # of rows in the matrix mat
    // postcondition: returns sum of all values in column k of mat
    {









    }

Problem 2: Transpose (3 points)

A matrix is transposed if the rows become columns and the columns become rows, e.g., the matrix is rotated 90 degrees. The matrix on the left below is transposed into the matrix on the right. 
    1  2  3  4          1  5  9
    5  6  7  8          2  6 10
    9 10 11 12          3  7 11
                        4  8 12
Write the function Transpose whose header is shown below. You'll need to use Matrix member functions Rows(), Cols(), SetRows(), and SetCols(). The first two return the number of rows and columns in a matrix, the second two are used to set the number of rows and columns respectively. 
  void Transpose(const Matrix<double> & a, Matrix<double> & b)
  // postcondition: b is the transpose of a