Question

Write a Matlab function for a matrix that takes in a matrix in echelon form and will return the row canonical form. The function cannot use rref, or any other matlab built in functions.

Answer 1

SOLUTION:

Given that data  Write a Matlab function for a matrix that takes in a matrix in echelon form and will return the row canonical form. The function cannot use rref, or any other matlab built in functions.

So the matlab function is given below

function To Reduced Row Echelon Form(Matrix M) is

    lead := 0

    rowCount := the number of rows in M

    columnCount := the number of columns in M

    for 0 ≤ r < rowCount do

        if columnCount ≤ lead then

            stop

        end if

        i = r

        while M[i, lead] = 0 do

            i = i + 1

            if rowCount = i then

                i = r

                lead = lead + 1

                if columnCount = lead then

                    stop

                end if

            end if

        end while

        Swap rows i and r

        If M[r, lead] is not 0 divide row r by M[r, lead]

        for 0 ≤ i < rowCount do

            if i ≠ r do

                Subtract M[i, lead] multiplied by row r from row i

            end if

        end for

        lead = lead + 1

    end for

end function