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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...

    cropped2035270349128927194.jpg
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    but ma'am given qus is related to basis

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

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