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Let X1 = <13,18,-6> , X2 = <32,39,10>, and writeW=span{x1,x2}. We then apply Gram-Schmidt to find an orthonormalbasis for W . v1=x1 v2=x2−projv1x2 Find v2 and enter your answer inthe box below.We then normalise the basis {v1,v2} to form anorthonormal basis {u1,u2} . Next, we want to find a QRfactorisation of A = <<13,18,-6>|<32,39,10>>Wechoose Q=(u1|u2)= ⎛⎝⎜⎜⎜⎜⎜13231823−6236233232223⎞⎠⎟⎟⎟⎟⎟ Find thematrix R such that A=QR , and enter the matrix R , using equationeditor, below.
32 39 and write W = span{x1, x₂}. 10 We then apply Gram-Schmidt to find an orthonormal basis for W. Let x1 13 (5). -6 = 18 x2 = V1 = x1 V2 = x2 - projv1 X2 Find v2 and enter your answer in the box below. We then normalise the basis {V1, V₂} to form an orthonormal basis {u₁, u2}. a (6) Note: The vector Next, we want to find a QR factorisation of A = Q = (u₁|u₂) sin (a) 8 𐐀х in Maple syntax, should be entered as <a,b,c> = f 13 23 18 23 -6 22 23 23 Find the matrix R such that A = QR, and enter the matrix R, using equation editor, below. 6 23 3 23 8 R 13 32 18 39 -6 10 Ω We choose AR P