Question: The files matrix1.dat and matrix2.dat are created using a text editor and contain two rectangular matrices. For example, In both cases the first row contains

The files "matrix1.dat" and "matrix2.dat" are created using a text editor

The files "matrix1.dat" and "matrix2.dat" are created using a text editor and contain two rectangular matrices. For example, In both cases the first row contains the size of the matrix (the number of rows and the number of columns). The remaining rows contain the values of elements. (a) Develop programs row and col that read a matrix from a file and display a specified row or column. For example: > (row "matrix1.dat" 2) 4 5 6 > (col "matrix1.dat" 2) 2 5 Matrices should be stored in memory as vectors whose components are vectors. (b) Develop a program for matrix multiplication mmul that multiplies two matrices stored in specified input files, and creates and displays an output file containing the product. For example (mmul "matrix1.dat" "matrix2.dat" "matrix3.dat") 6 12 18 15 30 45 In this example the contents of the new file "matrix3.dat" should be 2 3 6 12 18 15 30 45

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