4. Let W be the subspace of R3 spannexl by w1​f⎝⎛​2/31/32/3​⎠⎞​ and w2​−⎝⎛​−2/32/31/3​⎠⎞​. Which of the following is the

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4 Let W Be The Subspace Of R3 Spannexl By W1 F 2 31 32 3 And W2 2 32 31 3 Which Of The Following Is The 1 (150.72 KiB) Viewed 39 times

4. Let W be the subspace of R3 spannexl by w1​f⎝⎛​2/31/32/3​⎠⎞​ and w2​−⎝⎛​−2/32/31/3​⎠⎞​. Which of the following is the orthogonal projection of ⎝⎛​111​⎠⎞​ onto W (a) 91​⎝⎛​8711​⎠⎞​ (b) 91​⎝⎛​−8711​⎠⎞​ (c) 91​⎝⎛​7811​⎠⎞​ (d) 91​⎝⎛​−78−11​⎠⎞​ 5. Let W be a subspace of it 10- dimerisional inner produd sface V. If dimW−6, what is dimW1 ? (a) 6 (b) 5 (c) 1 (d) 10 6. Let L:R3→R2​[x] be a lincar transformation such that L⎝⎛​100​⎠⎞​−x+x2,L⎝⎛​010​⎠⎞​−1+x and L⎝⎛​001​⎠⎞​−1+x2. Calculate L⎝⎛​23−1​⎠⎞​. (a) x2−5x+1 (b) x2+5x+2 (c) x2+12x−5 (d) x2+2x+5