Two matrices M1 and M2 are to be stored in arrays A and B respectively. Each array can be stored either in row-major or column-major order in contiguous memory locations. The time complexity of an algorithm to compute M1 × M2 will be*2 pointsbest if A is in row-major, and B is in column- major orderbest if both are in row-major orderbest if both are in column-major orderindependent of the storage scheme
Question
Two matrices M1 and M2 are to be stored in arrays A and B respectively. Each array can be stored either in row-major or column-major order in contiguous memory locations. The time complexity of an algorithm to compute M1 × M2 will be*2 pointsbest if A is in row-major, and B is in column- major orderbest if both are in row-major orderbest if both are in column-major orderindependent of the storage scheme
Solution
The time complexity of an algorithm to compute the multiplication of two matrices M1 and M2 is independent of the storage scheme. Whether the matrices are stored in row-major order or column-major order in arrays A and B respectively does not affect the time complexity of the matrix multiplication algorithm. The time complexity of matrix multiplication is generally O(n^3) for two n x n matrices, regardless of how the matrices are stored in memory.
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