MATLAB overdetemined linear system error: "Matrix dimensions must agree" -


i'm trying rather simple, can't code work. have 17 lines this:

a1*f1 + a2*f2 = f3

a=[716 1184; 246 2222; 265 2179; 337 605; 288 628; 526 1918; 316 1311; 274 1704; 406 1864; 532 1859; 694 1294; 534 929; 405 951; 396 1302; 501 1334; 435 1614; 639 1388];

b=[2814 2822 3127 2730 2249 2582 1943 2032 2551 2609 2395 2514 2540 2334 2338 2573 2302];

when try solving system x = a\b

i following error: error using \ matrix dimensions must agree.

well of course dimensions not add because overdetermined system, how can solve this?

how solve this: f3=a_0+ a_1*f1+a_2*f2+a_3*f1*f2+a_4*f1²+a_5*f2²?

thanks in advance!

you cannot solve overdetermined system in general case. can find least-squares solution, x=(a'a)^-1 a' b


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