Vaibhav Kumar posted an Question
July 27, 2022 • 22:51 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let w, and w, be subspaces of thec real vector space r00 defined by w-{(x,.*g ,00): x = 0 if tis divisible by 4), w-{(x,a,00) x, -0 if tis divisible by 5). then

Let W, and W, be subspaces of thec real vector space R00 defined by W-{(x,.*g ,00): x = 0 if tis divisible by 4), W-{(x,a,00) X, -0 if tis divisible by 5). Then the dimension of W n W is I7019: 1 Mark

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    Navdeep goyal 1

    W1 contain xi=0 when 4|I so in (X1,X2....x100) 25 place value zero and 75 non zero so dim(W1)=75 W2 contain xi=0 when 5|I so in (X1,X2....x100) 20 place value zero and 80 non zero so dim(W1)=80 dim(w1^w2)=80+75-100=55

    eduncle-logo-app

    answer is correct 💯👍👍

    eduncle-logo-app

    its answer should be 60 not 55

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