ගවුසියානු අපවර්තන ක්රමය (Gaussian Elimination) පුහුණු ප්රශ්න රේඛීය සමීකරණ පද්ධතිය විසඳන්න.
x + y + z = 6
2x + y + z = 7
x + y + 2z = 8
%20by%20%E2%80%9ELisa%20Wischofsky%E2%80%9D%2C%20licensed%20under%20%E2%80%9ECC%20BY%204.0%E2%80%9D%20(https%3A%2F%2Fcreativecommons.org%2Flicenses%2Fby%2F4.0%2F)%3C%2Fdc%3Arights%3E%3C%2Frdf%3ADescription%3E%3C%2Frdf%3ARDF%3E%3C%2Fmetadata%3E%3Cmask%20id%3D%22viewboxMask%22%3E%3Crect%20width%3D%22762%22%20height%3D%22762%22%20rx%3D%220%22%20ry%3D%220%22%20x%3D%220%22%20y%3D%220%22%20fill%3D%22%23fff%22%20%2F%3E%3C%2Fmask%3E%3Cg%20mask%3D%22url(%23viewboxMask)%22%3E%3Crect%20fill%3D%22%23fce7f3%22%20width%3D%22762%22%20height%3D%22762%22%20x%3D%220%22%20y%3D%220%22%20%2F%3E%3Cpath%20d%3D%22M396%20164.8a224.8%20224.8%200%200%201%20104.8%2042.4c6.2%204.9%2012.5%209.4%2018%2015a225.4%20225.4%200%200%201%2071.8%20149%2058.5%2058.5%200%200%201%2050.9%2042.2%2071%2071%200%200%201-27.6%2076.5c-11%207.7-24.5%2012-38%2011.7-5%200-10-1.6-15-1.8-1.9%202.2-3.3%204.9-4.8%207.3A223.3%20223.3%200%200%201%20389%20609.8c-11%20.7-21.9%202-33%20.7a223.7%20223.7%200%200%201-178.8-342.3A223.4%20223.4%200%200%201%20352%20163.5c14.6-1.4%2029.4-.3%2044%201.3Z%22%20fill%3D%22%23000%22%2F%3E%3Cpath%20fill-rule%3D%22evenodd%22%20clip-rule%3D%22evenodd%22%20d%3D%22M498.8%20213.2A216%20216%200%200%200%20363%20169c-13-.2-26.2%201.6-39%204a218%20218%200%200%200-113.6%20365.5%20218.5%20218.5%200%200%200%20260.4%2040.2c35-18.8%2064.2-47.3%2084.4-81.5l-3-1.6c-2.8-1.4-5.7-3-8-5-2.2-2-.3-5.8%202.7-4.7%201.5.7%203%201.6%204.4%202.4a55%2055%200%200%200%2059.6-3.6%2064.5%2064.5%200%200%200%2025-69.8%2053.1%2053.1%200%200%200-24-31%2052.6%2052.6%200%200%200-47-2.8c-1.6.8-3.4%201.5-5%201.3-2.5-.2-2.8-4.2-.6-5.2%208-4%2016.5-5.6%2025.4-6.4a217%20217%200%200%200-72-146.4c-4.4-4-8.7-8.1-13.9-11.3Zm107.6%20196.2c2-1.2%201.3-5.1-1.4-5-2%200-4.2.8-6.2%201.6l-1.4.4a95.1%2095.1%200%200%200-25.5%2012.4c-2.2%202-2.2%204.4.1%206.2a92%2092%200%200%200%205.2%202.8%2036%2036%200%200%201%2013%209.2c-.2%201.9-2%203.4-3.4%204.5l-.2.2c-3.9%203-8.8%205-13.6%207-2.5%201-4.9%202-7.1%203.1-1.7.8-2.6%202.2-1.6%203.9%201%202%203.2%201.1%205%20.5l.6-.2%205.4-2.3c5.4-2.3%2011-4.5%2015.4-8%202.7-2.1%205.1-5.1%205.4-8.7-.5-3.4-2.7-5.7-5.3-7.8a83%2083%200%200%200-11.6-7.2l-1.1-.6c5.4-3%2010.8-5.6%2016.6-7.7l5-1.7a52%2052%200%200%200%206.7-2.6Z%22%20fill%3D%22%23ecad80%22%2F%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3Cpath%20d%3D%22M551.3%20424.3a65.4%2065.4%200%200%201%2059.6%20101.6%2065.2%2065.2%200%201%201-59.6-101.6Z%22%20fill%3D%22%23000%22%2F%3E%3Cpath%20d%3D%22M549.3%20430.3a59.6%2059.6%200%201%201%2015.2%20118.2%2059.6%2059.6%200%200%201-15.2-118.2Z%22%20fill%3D%22%23fff%22%2F%3E%3Cpath%20d%3D%22M381.2%20447a55.4%2055.4%200%200%201%2058.7%2040%2055.5%2055.5%200%200%201-26.7%2063.1%2054.7%2054.7%200%200%201-81.3-46.1%2055.1%2055.1%200%200%201%2049.4-57Z%22%20fill%3D%22%23000%22%2F%3E%3Cpath%20d%3D%22M378.3%20453.3a49%2049%200%200%201%2057.2%2056.6%2049.1%2049.1%200%200%201-93.1%2012.9%2049.3%2049.3%200%200%201%2035.9-69.5Z%22%20fill%3D%22%23fff%22%2F%3E%3Cpath%20d%3D%22M526.5%20467.5c12-2.9%2024.9%204.2%2029.3%2015.6a26%2026%200%200%201%200%2018.7%2025.6%2025.6%200%201%201-29.3-34.3ZM398.3%20478.4a23.2%2023.2%200%200%201%2027%2018c.7%205.7.6%2011.4-2.6%2016.2a23.4%2023.4%200%200%201-23.6%2011.2%2023.1%2023.1%200%200%201-.8-45.4Z%22%20fill%3D%22%23000%22%2F%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3Cpath%20d%3D%22M502%20385c9.9%200%2019.9%203.2%2028.8%207.3%203.4%201.8%207%204%207.3%208.3-5.1-.9-10.1-2.1-15.4-2.3a58.7%2058.7%200%200%200-33.2%207.2c-2.5%201.4-5%203.3-7.6%204.4-1.8.2-4-2-4-3.8-.2-5.8%202-11.9%206.6-15.7A27%2027%200%200%201%20502%20385ZM414%20402.6c5.8.2%2011%205.3%2012.5%2010.6.8%202.7-.4%205.8-3.5%205.7-8.8.2-18.2%200-26.8%202.2-7.5%202-14.7%206.7-21.4%2010.8-1.2.8-2.5%201-4%201.2.4-2%20.7-3.7%202-5.2%203.3-4.4%206.8-8.6%2010.7-12.3%206-5.2%2013-9%2020.4-11.7%203.2-1.1%206.7-1.6%2010.1-1.3Z%22%20fill%3D%22%23000%22%2F%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3Cpath%20d%3D%22M473%20557.8a84.3%2084.3%200%200%201%2043.7%208.6%20188.2%20188.2%200%200%201-65.7%2015.5c-7.2%200-14.3.2-21.5-.6.7-5.9%203-9.6%207.7-13a68%2068%200%200%201%2035.8-10.5Z%22%20fill%3D%22%23D31E1E%22%2F%3E%3Cpath%20d%3D%22m525%20563.7%201.2%202.3c.4%202.7-2%203.4-3.8%204.4a184%20184%200%200%201-85.8%2017c-5-.6-10.2-.7-15-2-2.3-1-2.6-4-.3-5.2%202.7%200%205.5.9%208.2%201%207.2%201%2014.3.7%2021.5.7%2022.5-.8%2045-6.8%2065.7-15.5%202.8-1.2%205.2-2.6%208.3-2.7Z%22%20fill%3D%22%23000%22%2F%3E%3Cpath%20d%3D%22M510.2%20575.4c-2%2010.1-10.3%2017.2-19.2%2021.6a56.4%2056.4%200%200%201-34%204.8c-8.7-1.8-16.5-6.2-20.4-14.5a184%20184%200%200%200%2073.7-12Z%22%20fill%3D%22%23D31E1E%22%2F%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3Cpath%20fill-rule%3D%22evenodd%22%20clip-rule%3D%22evenodd%22%20d%3D%22M589%20446c12.8.8%2025.7%201.9%2037.4%207.6%201.1.5%202.2%201.2%203.3%201.9%201.4.9%202.8%201.8%204.3%202.3%202.3.4%204.7.4%207%20.5%202.7.1%205.4.2%208%20.7%202.1.8%202.3%202.8%202.4%204.8v1c0%202.2%200%204.2-2.4%205.4-2.2.2-4.4.2-6.6.2h-3.2a92.2%2092.2%200%200%201-11.5%2052.3%2082.3%2082.3%200%200%201-43.9%2037.2%2078.7%2078.7%200%200%201-77.4-14.3%2088.7%2088.7%200%200%201-28.7-44.5c-1-3-1.5-6-2-9-.6-3.2-1.2-6.4-2.3-9.5-2-5.5-10.5-8.8-14.5-3.7-3.3%203.7-3.2%208-3.2%2012.6v3.5a77.3%2077.3%200%200%201-41.3%2065.4%2065%2065%200%200%201-46.2%205.3%2062%2062%200%200%201-30.7-19.2%2070.8%2070.8%200%200%201-16.8-45.2l-1.5-.2c-1.4-.2-2.7-.3-3.4-2v-.4c-.3-2.1-.9-5.5%201.4-6.5%201-.5%202-1%203-1.3%202.2-1%204.4-1.8%206.2-3.5a88.9%2088.9%200%200%201%2037.6-17.3%20152%20152%200%200%201%2069-1c5.8%201.5%2012%201.7%2017.7-.4%207.1-2.3%2014.9-3.5%2022.3-2.5%205.8.6%2011.9.4%2017.4-1.9%2012.1-4.6%2024-9.1%2036.6-12.3%2020.3-5.1%2041-7.2%2062-6Zm-25%2013c17.6-1%2036-.8%2053.3%203.7a19%2019%200%200%201%2014.2%2015.5c1.3%207.9.3%2015.5-1.3%2023.3a80.6%2080.6%200%200%201-24.7%2039%2073%2073%200%200%201-81.6%209.6%2080%2080%200%200%201-33.2-32.9%2060.6%2060.6%200%200%201-6.4-35.5%2098%2098%200%200%201%2020.2-10.3A214.9%20214.9%200%200%201%20564%20459Zm-134.8%2019.8c-11.4-2.2-23-2.7-34.7-2-16%201.2-31.3%203.7-46.4%209.4-5.2%202-10.6%204.5-15%208-4.1%202.8-5.5%209.1-5.7%2013.8.3%208.9%203.6%2017.9%208%2025.5a56.4%2056.4%200%200%200%2066.7%2025.6%2068%2068%200%200%200%2046.6-62.1%2047%2047%200%200%200-1.4-10c-.3-1.6-1.8-2.5-3.1-3.3l-.6-.3a57.8%2057.8%200%200%200-14.4-4.6Z%22%20fill%3D%22%23000%22%2F%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3Cpath%20fill-rule%3D%22evenodd%22%20clip-rule%3D%22evenodd%22%20d%3D%22M570%20210c4%20.7%207.6%202.5%2011.3%204.2l3.2%201.4a559.3%20559.3%200%200%200%2046.4%2019.4%20863.2%20863.2%200%200%201%2061.7%2025.4c8.5%203.8%2017.4%207.7%2025%2012.9%204.6%203.4%208.6%207.7%2011.4%2012.7a475.6%20475.6%200%200%201%2022.4%2040.6c15%2029.2%2028.5%2059.2%2041.6%2089.3a778%20778%200%200%201%2031.4%2081.8%20424%20424%200%200%201%2016.1%2074.3c2.8%2023%205%2046.1%206%2069.3.5%2017%20.8%2033.8%201%2050.8-.4%202.4-1.3%202.6-3.5%202.2-1.7-1.6-3-3.7-4.3-5.8a177.3%20177.3%200%200%200-13.5-19.6l-6.7-8.8c-2.8-3.8-5.6-7.6-8.6-11.2-13.3%2014.5-30%2022.5-48.1%2029.5-3%208.6-6.4%2017-10.2%2025.2-3.1%206.8-6.5%2014-11.2%2019.8-1.3%201.8-3.7%202-4.6-.2%200-2.4.8-4.8%201.7-7l.1-.6c4-10.4%206.5-21.4%208.3-32.4-6.2%201.7-12.5%203-18.7%204.3a296.6%20296.6%200%200%201-31.9%2072.8c-7.9%2012-17.9%2024.6-31.1%2030.9-.3%200-.6.2-.8.3-2%20.9-4.5%202-6.3.5-1.7-1.6-.6-3.8.4-5.5a153%20153%200%200%200%2017-48A387%20387%200%200%200%20682%20692c-25.3.1-50.2-2.4-74.5-9.7a31%2031%200%200%201-6.8-3.1l.8-3.7A219%20219%200%200%200%20684%20623l-.3-10.7c0-4.4%200-8.9-.5-13.3-.7-18.1-2-36.3-3.7-54.4a263.6%20263.6%200%200%201-57.7-35.5c-10.1-7.8-19.8-16.1-29.3-24.7a637.2%20637.2%200%200%201-93-108c-17-25.4-33-52.9-43.5-81.6a373.2%20373.2%200%200%200-124.2%2085.1c-1.9%201.9-3.6%203.8-4.6%206.3a220.4%20220.4%200%200%200-16.5%2093.8%20218.5%20218.5%200%200%200%20148.4%20196.7c3.2.6%205.9%204.6%204.2%207.6-1.4%201-3.1%201.7-4.8%202.4a381.5%20381.5%200%200%200-45.3%2020.5%20530.8%20530.8%200%200%201-54.2%2024c-11.7%204-23.6%204.2-35.6%204.5-4.1.1-8.3.2-12.5.5h-6.6c-3.8%200-7.7%200-11.4.3l-1.1.1-1%20.1c-2.4.2-4.7.5-7%20.4-2.2-.2-4.5-1.6-4.6-4.1-1.1-9.3-2-18.6-2.5-28-1-14.2-1-28.6-.8-43v-10.5c-20.7%2025-32.7%2054.8-40.5%2086.1-.3%201.5-1.1%202-2.5%202.7-2.2-.6-3-1.4-3.3-3.7a296.4%20296.4%200%200%201%200-65.6c2.5-26%207.5-51.7%2014.7-76.8a360.4%20360.4%200%200%201%2031.5-77.5c1-1.5%202-3.1%202.6-4.8a329.6%20329.6%200%200%201%2016.2-80.3l4.7-14.3a371.8%20371.8%200%200%200-36.8%2058.3%20277.3%20277.3%200%200%200-22.1%2058.1c-.4%201.4-1%203-2.6%203-1.7.3-3.2-1-3.3-2.7l-.3-4c-.5-5-1-10-1.2-15A243%20243%200%200%201%20270%20381a184.2%20184.2%200%200%201%2059-60c2-1.1%202.7-2.9%203.3-4.8l.8-2.2.3-.7c2.2-5.7%204.6-11.8%208.4-16.6%203.7-4.5%208.1-8.8%2013-12%207.2-4.5%2015-8.3%2022.8-12a1004.5%201004.5%200%200%200%2018.6-9l14.6-7%2022.2-10.7c10.8-5.3%2021.6-10.5%2032.6-15.5%209.3-4.3%2018.4-8.1%2028.5-10%208-1.2%2016.3-.8%2024.2.2%202.6.4%205-.2%207.5-1%209.3-3.2%2018.8-5.3%2028.4-7.5l4.2-1c3.8-1%207.4-2%2011.8-1.2Zm2.8%20129.2%204.8%203.6a1317.2%201317.2%200%200%201%2048.7%2037.7c6.3%205%2012.5%2010%2018.4%2015.8%203.3%203.2%206.4%206.7%209.4%2010l4%204.6c1.7%201.5%202.1%203.5%202.5%205.6%206.8%2033.7%2012.4%2067.7%2016.2%20101.8a494.5%20494.5%200%200%201-55.6-59.5%20583.7%20583.7%200%200%201-47.6-69.4%20441.4%20441.4%200%200%201-35.2-73.7l3.3%202.1c10.5%207%2021%2013.8%2031.1%2021.4ZM799.9%20515a57.5%2057.5%200%200%200-14.7-39c.8%204.6%201%209.2%201.2%2013.8l.2%204.2c1.4%2019.8%201.8%2039.8.6%2059.6a65.5%2065.5%200%200%200%2012.7-38.6Z%22%20fill%3D%22%23000%22%2F%3E%3Cg%20fill%3D%22%23562306%22%3E%3Cpath%20d%3D%22M565%20215.7a18%2018%200%200%201%209.9%201.5c10.6%204.9%2021.4%2010.3%2032.2%2014.8%2011.2%204.7%2022.5%208.7%2033.9%2013%2015.4%206%2030.7%2012.4%2045.9%2019.2%209%204%2017.7%207.6%2026%2012.9a43%2043%200%200%201%2013.4%2014.6c9.5%2015.9%2017.1%2032.1%2025.5%2048.5%2015%2030%2028.4%2060.6%2041.8%2091.2a759.1%20759.1%200%200%201%2026.9%2073.1c5.7%2020%2010.6%2040.4%2013.3%2061%201.8%2012.5%203%2025%204.3%2037.5%201.3%2016%202.8%2031.8%202.8%2047.8.6%2010%20.9%2020%20.8%2030.1-6-9.6-13.2-17.6-19.9-26.8l-9.6-12.5c-3.2-.8-4.9%202.9-6.9%204.7a108.5%20108.5%200%200%201-40%2024.9c11.7-34.9%2019.1-71%2021.2-107.8%206-6.7%2011-14.2%2014.2-22.6a68.6%2068.6%200%200%200%202-45.3A59%2059%200%200%200%20787%20470c-1.2-1.3-2.5-2-2.6-4-1.1-9.1-1.4-18.5-3-27.6-.7-2.7-2.8-1.9-5-2.1-.2%201.5-.6%203-.4%204.5%202.6%2023.6%205%2047.4%205.8%2071.2.2%2019%20.4%2038-1.4%2057A408%20408%200%200%201%20751%20693c2.2-13.7%204.4-27.2%205.6-41%202-20%202-40%20.5-60-1.6-15.1-2.6-30.5-5.6-45.5l-2.5-.6-2.3%201-.6%205.1c-2.7%2042.5-9.4%2085.1-21.1%20126-2.1%206-3.5%2012.2-5.7%2018.2-7.5%2022.4-17%2045.3-30.4%2064.8a83.3%2083.3%200%200%201-21.9%2022.6c10.6-21.7%2015.4-46.9%2018.6-70.6%201.7-13%202.5-26%203.5-39%20.5-12.7.6-25.3%201-38-.7-17.6-.3-35.5-1.9-53-.4-12-1.6-24-2.5-36a69%2069%200%200%200%2026.4%204.3c2.8-.2%203.8-4.2%201.1-5.5-10.5-6.5-20.5-13.9-29.9-22-4.2-38-10.4-75.7-18-113.3-2.6-3.8-6.2-7-9.2-10.6-9.5-10.9-20.5-19.3-31.6-28.3-15.2-12.4-30.8-24-46.5-35.7-12.7-9.5-26-17.9-39.5-26.4-2.3-1.6-4.2-2-7-2.2-.5%201.8-1%203.3-.2%205.2a403.3%20403.3%200%200%200%2025.9%2059.3c16.6%2031.3%2036.2%2061%2058.1%2088.8%2017.9%2022.5%2037%2043.6%2058.5%2062.6%208.8%207.4%2017.6%2014.9%2027%2021.6-3.7-.5-7.4-1.4-11-2.6a161%20161%200%200%201-28.1-12.9%20404.5%20404.5%200%200%201-76.3-59.7%20628.3%20628.3%200%200%201-83.6-100.4c-13-19.6-25-40.1-34.4-61.6-6.3-14.6-11.7-30.1-13.7-46a269.6%20269.6%200%200%201%2055.9-30%20312.4%20312.4%200%200%201%2055.4-16Z%22%2F%3E%3Cpath%20d%3D%22M509.3%20225.5a282.6%20282.6%200%200%200-55.4%2029.3c-2.4%202-5.5%203.8-5.7%207.2.6%209.2%203.4%2018.6%206%2027.3a363%20363%200%200%200-98.3%2060.5c-31.4%2026.7-59%2058-81.2%2092.8a318.1%20318.1%200%200%200-35.5%2074.8c-.1-9.1-.4-18.3.3-27.4a239%20239%200%200%201%2037.7-109.8c17.8-26.9%2042.4-51.3%2072.7-63.4%202.4-1.3%202.4-5.4-.6-6.2-3.9%201.5-7.5%203.6-11.3%205.2%202.3-5.3%204.4-11.3%208-15.8a50%2050%200%200%201%2011.7-10.3c8-5%2017-9.3%2025.6-13.4%2010.7-5.3%2021.6-10.2%2032.2-15.6%2019.8-9.2%2039.3-19.3%2059.2-28%2011.1-4.8%2022.4-8.2%2034.6-7.2Z%22%2F%3E%3Cpath%20d%3D%22M317.5%20395.4a224.3%20224.3%200%200%200%20138%20286.2%20447%20447%200%200%200-41.3%2018.7c-18.8%209.2-36.9%2018.2-56.7%2025.3-14%204.9-27.1%203.7-41.5%204.9-10.4.4-20.7%200-31%201.4a342%20342%200%200%201-3-42.9%201996%201996%200%200%201-.4-51.9c-.2-2%20.2-5-1.5-6.5-2.2-.3-3.1.5-3.7%202.6-.3%203.6%200%207.2-.3%2010.8-3.4%202.5-5.5%205.8-8%209a194.7%20194.7%200%200%200-33.6%2067.8c-1.8-14-.6-27.6.2-41.8a439%20439%200%200%201%2022-105%20321.9%20321.9%200%200%201%2020.7-48.2c0%205.4-.6%2010.8-.6%2016.2%200%207-1%2014-.9%2021.1.1%201.7.4%203.3%202.3%203.7%201.9.4%203-1%203.3-2.7.7-5.3.5-10.8.8-16.1.2-11.3%201-22.7%201.7-34a339%20339%200%200%201%2015.9-80.2c2.7-8.6%205-17.2%208.3-25.6%201.4-5%206-8.7%209.3-12.8ZM750.4%20583.6c1.4%2010.4%201.6%2021%202.1%2031.4.3%2020.6-1.8%2041.5-4.7%2062-5.8%201.8-11.7%203-17.7%204.3a586%20586%200%200%200%2018-89.3c.5-3.1%200-6%202.3-8.4ZM684.2%20631c.2%2011-.3%2022-.4%2033-.4%207.4-1%2014.8-1.2%2022.2-23.7.5-47.6-2.1-70.4-8.4a227.9%20227.9%200%200%200%2069.8-44.7l2.2-2Z%22%2F%3E%3C%2Fg%3E%3C%2Fg%3E%3Cg%20transform%3D%22translate(-161%20-83)%22%3E%3C%2Fg%3E%3C%2Fg%3E%3C%2Fsvg%3E){kind=avatar}
Public learning profile
Vinudhi Wahalathanthri
@vinudhivw
Software Engineering and Discrete Math
University student · 17 years old
0Reputation
0Accepted answers
Community learner
Learning in public, one good question at a time.