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"content": "Here’s a self‐contained Bash script that takes your matrix string as its first argument (or from stdin if you prefer) and prints the transpose in the same “[...],[...]” format. It uses Bash’s built‐in associative arrays and only standard shell tools:\n\n```bash\n#!/usr/bin/env bash\n# transpose.sh\n\nset -euo pipefail\n\n# read input either from $1 or stdin\nif [[ $# -ge 1 ]]; then\n input=\"$1\"\nelse\n read -r input\nfi\n\n# strip all whitespace\ns=\"${input//[[:space:]]/}\"\n\n# turn each “],[” into a row‐separator semicolon, then\n# delete all remaining [ and ]\n# e.g. \"[1,2],[3,4],[5,6]\" → \"1,2;3,4;5,6\"\ns2=\"${s//],[/;}\"\ns2=\"${s2//[\\[\\]]/}\"\n\n# split into rows on ‘;’\nIFS=';' read -ra rows <<< \"$s2\"\n\n# number of rows\nrows_count=\"${#rows[@]}\"\n\n# split first row on commas to get column count\nIFS=',' read -ra first_row <<< \"${rows[0]}\"\ncols_count=\"${#first_row[@]}\"\n\n# load into an associative array M[i,j]\ndeclare -A M\nfor i in \"${!rows[@]}\"; do\n IFS=',' read -ra elems <<< \"${rows[i]}\"\n for j in \"${!elems[@]}\"; do\n M[\"$i,$j\"]=\"${elems[j]}\"\n done\ndone\n\n# build transpose: it will have cols_count rows and rows_count columns\nout_rows=()\nfor j in $(seq 0 $((cols_count - 1))); do\n row_elems=()\n for i in $(seq 0 $((rows_count - 1))); do\n row_elems+=( \"${M[\"$i,$j\"]}\" )\n done\n # join the row_elems by commas\n IFS=',' read -r rowstr <<< \"${row_elems[*]}\"\n out_rows+=( \"[$rowstr]\" )\ndone\n\n# join all the out_rows by commas and print\n(\n IFS=',' \n echo \"${out_rows[*]}\"\n)\n```\n\nSave that as `transpose.sh`, make it executable (`chmod +x transpose.sh`), and run:\n\n```\n$ ./transpose.sh \"[1,2],[3,4],[5,6]\"\n[1,3,5],[2,4,6]\n```\n\nExplanation of the main steps:\n\n1. Remove all whitespace.\n2. Replace each “],[” with a semicolon so we can `read -ra` split the rows.\n3. Strip off all `[` and `]`.\n4. Split into `rows[]`, then split each row on commas into elements.\n5. Store elements in an associative array `M[\"i,j\"]`.\n6. Compute the transpose by swapping indices and re‐format into `[a,b,c]` blocks.\n7. Finally join those blocks with commas."
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"content": "Here’s a self‐contained Bash script that takes your matrix string as its first argument (or from stdin if you prefer) and prints the transpose in the same “[...],[...]” format. It uses Bash’s built‐in associative arrays and only standard shell tools:\n\n```bash\n#!/usr/bin/env bash\n# transpose.sh\n\nset -euo pipefail\n\n# read input either from $1 or stdin\nif [[ $# -ge 1 ]]; then\n input=\"$1\"\nelse\n read -r input\nfi\n\n# strip all whitespace\ns=\"${input//[[:space:]]/}\"\n\n# turn each “],[” into a row‐separator semicolon, then\n# delete all remaining [ and ]\n# e.g. \"[1,2],[3,4],[5,6]\" → \"1,2;3,4;5,6\"\ns2=\"${s//],[/;}\"\ns2=\"${s2//[\\[\\]]/}\"\n\n# split into rows on ‘;’\nIFS=';' read -ra rows <<< \"$s2\"\n\n# number of rows\nrows_count=\"${#rows[@]}\"\n\n# split first row on commas to get column count\nIFS=',' read -ra first_row <<< \"${rows[0]}\"\ncols_count=\"${#first_row[@]}\"\n\n# load into an associative array M[i,j]\ndeclare -A M\nfor i in \"${!rows[@]}\"; do\n IFS=',' read -ra elems <<< \"${rows[i]}\"\n for j in \"${!elems[@]}\"; do\n M[\"$i,$j\"]=\"${elems[j]}\"\n done\ndone\n\n# build transpose: it will have cols_count rows and rows_count columns\nout_rows=()\nfor j in $(seq 0 $((cols_count - 1))); do\n row_elems=()\n for i in $(seq 0 $((rows_count - 1))); do\n row_elems+=( \"${M[\"$i,$j\"]}\" )\n done\n # join the row_elems by commas\n IFS=',' read -r rowstr <<< \"${row_elems[*]}\"\n out_rows+=( \"[$rowstr]\" )\ndone\n\n# join all the out_rows by commas and print\n(\n IFS=',' \n echo \"${out_rows[*]}\"\n)\n```\n\nSave that as `transpose.sh`, make it executable (`chmod +x transpose.sh`), and run:\n\n```\n$ ./transpose.sh \"[1,2],[3,4],[5,6]\"\n[1,3,5],[2,4,6]\n```\n\nExplanation of the main steps:\n\n1. Remove all whitespace.\n2. Replace each “],[” with a semicolon so we can `read -ra` split the rows.\n3. Strip off all `[` and `]`.\n4. Split into `rows[]`, then split each row on commas into elements.\n5. Store elements in an associative array `M[\"i,j\"]`.\n6. Compute the transpose by swapping indices and re‐format into `[a,b,c]` blocks.\n7. Finally join those blocks with commas."
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