{"id":2285,"date":"2023-07-22T22:38:26","date_gmt":"2023-07-22T22:38:26","guid":{"rendered":"https:\/\/statorials.org\/th\/%e0%b9%81%e0%b8%81%e0%b9%89%e0%b8%a3%e0%b8%b0%e0%b8%9a%e0%b8%9a%e0%b8%aa%e0%b8%a1%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b9%83%e0%b8%99-r\/"},"modified":"2023-07-22T22:38:26","modified_gmt":"2023-07-22T22:38:26","slug":"%e0%b9%81%e0%b8%81%e0%b9%89%e0%b8%a3%e0%b8%b0%e0%b8%9a%e0%b8%9a%e0%b8%aa%e0%b8%a1%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b9%83%e0%b8%99-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/th\/%e0%b9%81%e0%b8%81%e0%b9%89%e0%b8%a3%e0%b8%b0%e0%b8%9a%e0%b8%9a%e0%b8%aa%e0%b8%a1%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b9%83%e0%b8%99-r\/","title":{"rendered":"\u0e27\u0e34\u0e18\u0e35\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e43\u0e19 r (3 \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07)"},"content":{"rendered":"

<\/p>\n

\n

\u0e43\u0e19\u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e43\u0e19 R \u0e40\u0e23\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19 solve()<\/b> \u0e17\u0e35\u0e48\u0e21\u0e35\u0e2d\u0e22\u0e39\u0e48\u0e41\u0e25\u0e49\u0e27\u0e20\u0e32\u0e22\u0e43\u0e19\u0e44\u0e14\u0e49<\/span><\/p>\n

\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e2a\u0e14\u0e07\u0e27\u0e34\u0e18\u0e35\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19\u0e40\u0e2b\u0e25\u0e48\u0e32\u0e19\u0e35\u0e49\u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e15\u0e48\u0e32\u0e07\u0e46 \u0e43\u0e19 R<\/span><\/p>\n

\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 1: \u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e43\u0e19\u0e15\u0e31\u0e27\u0e41\u0e1b\u0e23\u0e2a\u0e2d\u0e07\u0e15\u0e31\u0e27<\/strong><\/span><\/h3>\n

\u0e2a\u0e21\u0e21\u0e15\u0e34\u0e27\u0e48\u0e32\u0e40\u0e23\u0e32\u0e21\u0e35\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e25\u0e30\u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32 x \u0e41\u0e25\u0e30 y:<\/span><\/p>\n

5x + 4 \u0e1b\u0e35 = 35<\/span><\/p>\n

2x + 6 \u0e1b\u0e35 = 36<\/span><\/p>\n

\u0e23\u0e2b\u0e31\u0e2a\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e2a\u0e14\u0e07\u0e27\u0e34\u0e18\u0e35\u0e01\u0e32\u0e23\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19 solve()<\/strong> \u0e43\u0e19 R \u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32 x \u0e41\u0e25\u0e30 y:<\/span><\/p>\n

 #define left-hand side of equations\n<\/span>left_matrix <- matrix(c(5, 2, 4, 6), nrow= 2<\/span> )\n\nleft_matrix\n\n     [,1] [,2]\n[1,] 5 4\n[2,] 2 6\n\n#define right-hand side of equations\n<\/span>right_matrix <- matrix(c(35, 36), nrow= 2<\/span> )\n\nright_matrix\n\n     [,1]\n[1,] 35\n[2,] 36\n\n#solve for x and y\n<\/span>solve(left_matrix, right_matrix)  \n\n     [,1]\n[1,] 3\n[2,] 5\n<\/strong><\/pre>\n
 \u0e2a\u0e34\u0e48\u0e07\u0e19\u0e35\u0e49\u0e1a\u0e2d\u0e01\u0e40\u0e23\u0e32\u0e27\u0e48\u0e32\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 x \u0e04\u0e37\u0e2d 3<\/strong> \u0e41\u0e25\u0e30\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 y \u0e04\u0e37\u0e2d 5<\/strong><\/span><\/p>\n
 \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 2: \u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e14\u0e49\u0e27\u0e22\u0e15\u0e31\u0e27\u0e41\u0e1b\u0e23 3 \u0e15\u0e31\u0e27<\/strong><\/span><\/h3>\n
 \u0e2a\u0e21\u0e21\u0e15\u0e34\u0e27\u0e48\u0e32\u0e40\u0e23\u0e32\u0e21\u0e35\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e25\u0e30\u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 x, y \u0e41\u0e25\u0e30 z:<\/span><\/p>\n
 4x + 2y + 1z = 34<\/span><\/p>\n
 3x + 5 \u0e1b\u0e35 \u2013 2z = 41<\/span><\/p>\n
 2x + 2a + 4z = 30<\/span><\/p>\n
 \u0e23\u0e2b\u0e31\u0e2a\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e2a\u0e14\u0e07\u0e27\u0e34\u0e18\u0e35\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19 solve()<\/strong> \u0e43\u0e19 R \u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32 x, y \u0e41\u0e25\u0e30 z:<\/span><\/p>\n
 #define left-hand side of equations\n<\/span>left_matrix <- matrix(c(4, 3, 2, 2, 5, 2, 1, -2, 4), nrow= 3<\/span> )\n\nleft_matrix\n\n     [,1] [,2] [,3]\n[1,] 4 2 1\n[2,] 3 5 -2\n[3,] 2 2 4\n\n#define right-hand side of equations\n<\/span>right_matrix <- matrix(c(34, 41, 30), nrow= 3<\/span> )\n\nright_matrix\n\n     [,1]\n[1,] 34\n[2,] 41\n[3,] 30\n\n#solve for x, y, and z\n<\/span>solve(left_matrix, right_matrix) \n\n     [,1]\n[1,] 5\n[2,] 6\n[3,] 2<\/strong><\/pre>\n
 \u0e19\u0e35\u0e48\u0e1a\u0e2d\u0e01\u0e40\u0e23\u0e32\u0e27\u0e48\u0e32\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 x \u0e04\u0e37\u0e2d 5<\/strong> \u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 y \u0e04\u0e37\u0e2d 6<\/strong> \u0e41\u0e25\u0e30\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 z \u0e04\u0e37\u0e2d 2<\/strong><\/span><\/p>\n
 \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 3: \u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e17\u0e35\u0e48\u0e21\u0e35\u0e15\u0e31\u0e27\u0e41\u0e1b\u0e23\u0e2a\u0e35\u0e48\u0e15\u0e31\u0e27<\/strong><\/span><\/h3>\n
 \u0e2a\u0e21\u0e21\u0e15\u0e34\u0e27\u0e48\u0e32\u0e40\u0e23\u0e32\u0e21\u0e35\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e25\u0e30\u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 w, x, y \u0e41\u0e25\u0e30 z:<\/span><\/p>\n
 6w + 2x + 2y + 1z = 37<\/span><\/p>\n
 2w + 1x + 1y + 0z = 14<\/span><\/p>\n
 3s + 2x + 2a + 4z = 28<\/span><\/p>\n
 2w + 0x + 5y + 5z = 28<\/span><\/p>\n
 \u0e23\u0e2b\u0e31\u0e2a\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e41\u0e2a\u0e14\u0e07\u0e27\u0e34\u0e18\u0e35\u0e01\u0e32\u0e23\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19 solve()<\/strong> \u0e43\u0e19 R \u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e41\u0e01\u0e49\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 w, x, y \u0e41\u0e25\u0e30 z:<\/span><\/p>\n
 #define left-hand side of equations\n<\/span>left_matrix <- matrix(c(6, 2, 3, 2, 2, 1, 2, 0, 2, 1, 2, 5, 1, 0, 4, 5), nrow= 4<\/span> )\n\nleft_matrix\n\n     [,1] [,2] [,3] [,4]\n[1,] 6 2 2 1\n[2,] 2 1 1 0\n[3,] 3 2 2 4\n[4,] 2 0 5 5\n\n#define right-hand side of equations\n<\/span>right_matrix <- matrix(c(37, 14, 28, 28), nrow= 4<\/span> )\n\nright_matrix\n\n     [,1]\n[1,] 37\n[2,] 14\n[3,] 28\n[4,] 28\n\n#solve for w, x, y and z\n<\/span>solve(left_matrix, right_matrix)\n\n     [,1]\n[1,] 4\n[2,] 3\n[3,] 3\n[4,] 1<\/strong><\/pre>\n
 \u0e2a\u0e34\u0e48\u0e07\u0e19\u0e35\u0e49\u0e1a\u0e2d\u0e01\u0e40\u0e23\u0e32\u0e27\u0e48\u0e32\u0e04\u0e48\u0e32\u0e02\u0e2d\u0e07 w \u0e04\u0e37\u0e2d 4<\/strong> , x \u0e04\u0e37\u0e2d 3<\/strong> , y \u0e04\u0e37\u0e2d 3<\/strong> \u0e41\u0e25\u0e30 z \u0e04\u0e37\u0e2d 1<\/strong><\/span><\/p>\n
 \u0e41\u0e2b\u0e25\u0e48\u0e07\u0e02\u0e49\u0e2d\u0e21\u0e39\u0e25\u0e40\u0e1e\u0e34\u0e48\u0e21\u0e40\u0e15\u0e34\u0e21<\/strong><\/span><\/h3>\n
 \u0e1a\u0e17\u0e0a\u0e48\u0e27\u0e22\u0e2a\u0e2d\u0e19\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49\u0e08\u0e30\u0e2d\u0e18\u0e34\u0e1a\u0e32\u0e22\u0e27\u0e34\u0e18\u0e35\u0e14\u0e33\u0e40\u0e19\u0e34\u0e19\u0e01\u0e32\u0e23\u0e17\u0e31\u0e48\u0e27\u0e44\u0e1b\u0e2d\u0e37\u0e48\u0e19\u0e46 \u0e43\u0e19 R:<\/span><\/p>\n
 \u0e27\u0e34\u0e18\u0e35\u0e01\u0e32\u0e23\u0e04\u0e33\u0e19\u0e27\u0e13\u0e1c\u0e25\u0e2a\u0e23\u0e38\u0e1b\u0e02\u0e2d\u0e07\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e2b\u0e49\u0e32\u0e15\u0e31\u0e27\u0e43\u0e19 R<\/a>
 \u0e27\u0e34\u0e18\u0e35\u0e2a\u0e23\u0e49\u0e32\u0e07\u0e15\u0e32\u0e23\u0e32\u0e07\u0e2a\u0e23\u0e38\u0e1b\u0e43\u0e19 R<\/a>
 \u0e27\u0e34\u0e18\u0e35\u0e01\u0e32\u0e23\u0e04\u0e33\u0e19\u0e27\u0e13\u0e04\u0e30\u0e41\u0e19\u0e19 Z \u0e43\u0e19 R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0e43\u0e19\u0e01\u0e32\u0e23\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e43\u0e19 R \u0e40\u0e23\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e43\u0e0a\u0e49\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e19 solve() \u0e17\u0e35\u0e48\u0e21 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2285","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"\n\u0e27\u0e34\u0e18\u0e35\u0e41\u0e01\u0e49\u0e23\u0e30\u0e1a\u0e1a\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e43\u0e19 R (3 \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07) - Statorials<\/title>\n<meta name=\"description\" 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