ii) Two subspaces of R3 are U = {(x,y, z) : x – 3y – 2z = 0} and W = %3D {(r, y, z) : x – y = 0}. Find bases %D and dimensions for UnW.

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A: we have to slove the above question

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A: The given equation is as follows.

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A:

Q: Just solve the third one. The other two are right

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Q: Solve the second-order difference equation Yt+2+ 10Y†+1 + 25Yt = 10(-5*)

A: Given that yt+2+10yt+1+25yt=10(-5t) Take the complementary term, yt+2+10yt+1+25=0 Take yt=mt,…