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In an mxn matrix, where the row index varies from 1 to Row-major order m and column index from 1 to n, dij denotes the
In an mxn matrix, where the row index varies from 1 to Row-major order m and column index from 1 to n, dij denotes the number in the ith row and the jh column. In the computer's a az a 3 memory, all elements are stored linearly using contiguous az az a23 addresses. Therefore, to store a two-dimensional matrix, two-dimensional address space must be mapped to one- agaz2 233 dimensional address space. In the computer's memory, matrices are stored in either row-major order or column- Column-major order major order form. In row-major order, the consecutive 211 212 213 elements of a row reside next to each other. In column- major order, the consecutive elements of a column reside [51] 4 3 next to each other. Consider the matrix A = Base 6 8 L27) address of the matrix is 3FA2H. Each element is stored in 2 bytes. Each memory location is one byte long. i. Give the addresses of 4 and 8 if the matrix is stored in row-major order. ii. Give the addresses of 3 and 2 if the matrix is stored in column-major order. iii. Give the element stored at the base address in both orders. a22 a23 a32 a33
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