Transpose of a Matrix (Definition, Properties & Examples)

1) (10 pts) The transpose of a matrix interchanges its rows and columns. Here is the code:for (i=0; i<N; i )for (j=0; j<N; j )output[j][i] = input[i][j];Both the input and output matrices are stored in row-major order. Assume that you areexecuting N × N double-precision (8 bytes per element) matrix transpose on a processor with16 KB D-Cache, which is 2-way set-associative, and 64-byte blocks. The D-Cache is a write-backwith write-allocate policy on a write miss.a) (4 pts) Assume each set in th