## Question

###### Consider R1 ,R2 and R3 as a 1*t digit, 2nd Digit and 3rd Digit respectively of vours registration number and R= vours registration number For example:For registration number642; then use as:R= 642RI: =6,RZ. = 4R3. =2OR For registration number 34; then use as:R= 034:RI-0,R2-3,R3-4Question No. 1: Let, 1,a2 and a3 are the basis for R"[CLO(Marks 8+6+6)a1 =H a2 = l a3 = Find the following:Y =Orthogonal basis for R? and Express Linear combination of orthogona basis_ QR Factorization The minimum d

Consider R1 ,R2 and R3 as a 1*t digit, 2nd Digit and 3rd Digit respectively of vours registration number and R= vours registration number For example: For registration number 642; then use as: R= 642 RI: =6, RZ. = 4 R3. =2 OR For registration number 34; then use as: R= 034: RI-0, R2-3, R3-4 Question No. 1: Let, 1,a2 and a3 are the basis for R" [CLO (Marks 8+6+6) a1 = H a2 = l a3 = Find the following: Y = Orthogonal basis for R? and Express Linear combination of orthogona basis_ QR Factorization The minimum distance from Y to H The subspace H is formed by the linear combination orthogona basis. (or Mathematically H = WV1 v3h)

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