IIT JAM
Madhurima das Asked a Question
April 14, 2021 10:05 ampts 50 pts
  • IIT JAM
  • Mathematics (MA)

If dim(w1+w2) = dim w2 then what can we imply if w1 and w2 are subspaces of vectorspace v

if dim(W1+W2) = dim W2 then what can we imply if W1 and W2 are subspaces of vectorspace V
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  • Deepak singh thankyou
    if dim(W1+W2)= dim(w2) , then dim(w1) is less than or equal to dim(W2). Refer example
    • cropped5263088476168648012.jpg
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  • Alka gupta
    yes, if W1, W2 are subspaces of vector space V then dim( W1+W2) = dim(W2) possible if W1 is zero space
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    Madhurima das
    thanks...but I think you mean W1 is zero space
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