Question

40
Time Allowed: 24 Hours Date 7/09/2020 /Start Time 9:00 AM
Max Marks
Sr. No.
NOTE: Attempt any four questions
(a) La M. (Z) be the set of all 22 matrices with animes from Snow that M. (Z) 15
a ring under sal addition and usual multiplication of matrices. Verify all
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Q.No.1
Letabe F and ab = 0. The show that the a = 0 or b = 0.
(m) Letab. EF and a = 0 and ab = ar. Then show that h = c.
(2) La R 320ER) = 16 CER-
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Q.No.2 Olet beaning and is a fixed element of R. LE SR=TER). Then check
whether is an ideal of er not justify your answer the proof or by an sample
(c) Find all deals of 2 Find a maximal ideal of Lify.
(a) LEO. RR-R-, be gresby (z,y) = (2y + 2). Check who is a
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4
Let Hom(R) = R(R) - B() is a vector space homomorphism). The
check whether (R) is a vector space over or not under addition and scalar
Q.No.3
- g)(x) = f(g(x) XER.GE Hom(R).
(af)(z) = f(n)) FERGERE HOR)
a Let TVF) - WF) be a vector space isomorphism. Let B. = (
v2...)
Q No 4 be a basis of veF). Then show that B. = f(z)-f() is a basis of
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Answer 1

Answer:

Whats this I didnt understood nothing ..