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Mathematics for Data Science II · End Term · 30 Apr 2023 · January 2023 term · Set QPF1-S1

Question 12: If \gamma is the orthonormal basis of W obtained from \b…

Question 12

+4 marksNumerical answer

If γ\gamma is the orthonormal basis of WW obtained from β\beta (from the previous question) by using the Gram Schmidt process with respect to the usual inner product, and (a,b,c,d)(a, b, c, d) is the projection of (0,112,0,112)\left(0, \sqrt{\frac{11}{2}}, 0, \sqrt{\frac{11}{2}}\right) onto WW, then what is 22(a+b+c+d)\sqrt{22}(a + b + c + d)?

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Correct answer: 2

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Question 12 of 26 in the IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 30 Apr 2023, in the January 2023 term (IIT M FOUNDATION ET1 EXAM QPF1 S2 30 Apr 2023). It carries 4 marks.

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