matrix calculator. no idea where to start, any idea?

I'd really appreciate if anyone can help me.

I need to create a matrix calculator. The calculator will be able to:
* read in matrices (from a file)
* perform operations on those matrices (as specified in the file)
* display the results and write the results to a file

The operations we will be performing include:
* matrix addition
* matrix multiplication
* calculating the determinant of a matrix
* calculating the transpose of a matrix

Input File
A file will be organized as follows

#matrices specified in the file
first_matrix_#rows first_matrix_#columns
first_matrix
second_matrix_#rows second_matrix_#columns
second_matrix
.
.
.
operations_until_eof

so the following would be an example of the file, like
4
2 3
1 2 3
4 5 6

3 4
4 5 7 23
34 65 12 86
-1 38 -54 21

2 2
-1 5
-83 195

2 3
65 -4 123
54 12 -76

1+4
4*2
2T
3D
3I
What are your problems?
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