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###### Prerna Chaudhary posted an Question
April 22, 2022 • 00:06 am 30 points
• IIT JAM
• Mathematics (MA)

# Prove or disprove, if u and w are linear subspaces of a linear space v with the bases b1 and b2 (b1 for u, b2 for w) then b1 ub1 is a base of u+ w.

Prove or disprove, If U and W are linear subspaces of a linear space V with the bases B1 and B2 (B1 for U, B2 for W) then B1 UB1 is a base of U+ W.

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• ##### Kanika goswami 1 Best Answer

As U+V is generated by U union V. so its base set is actually union of base set of U and V. The proof that how U+V is generated by U union V is given in attachment. Please check it...

but ma'am given qus is related to basis

proceed further step like this.....ok Prerna

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