Question

Edit; never mind I got how to do it after posting the question but can confirm answer now if someone shows a better way to do it by finding the inverse of matrix then multiplying by the Pb^-1 * x

8. (graded) Find the coordinate vector [x]B of x relative to the given basis B = {b1,b2, ..., bn}. ..,x = 3

Answer 1

@ find the coordinal vector [x]Bs x relative to give basis B: {b, br. bn} Sol: Sol C = C, b, + 6. [b], ban biz], 63+ [ - ] + [8] x: 6b+sabet by then Cro)[3] [:] -- [j] [] [-] 3 No R2) Ra-R., R3-R3-3R, SI 2 Ilo lo - 2 - 2 o 2 o 1-2 R2 R2+R3 n Q10 • o -2 -2 0 2 0 -2 R2-R21-2, R3-R3/ 2 1 07 . . Lo I o 1-1

R,-) R, -2R₂ - D ] R,-) R, -R2 ą oro I . 6:] - [o] [4] .. CE1, Ca=-1,033)