කව්ද ? මේ වෙලාවේ online ඉන්නේ ඔබනම්......

D.shan

Well-known member
  • Oct 31, 2011
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    වයබ පාලාතේ
    NumberedEquation1.gif

    :dull:
     

    IDG

    Well-known member
  • Aug 3, 2012
    14,166
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    වාහන ගොඩේ
    yako maths wala lesima algebra eketh linear thamai lesima
    ubata thawa ara 3d geometry wage dunna nam mona kiyayida...


    monada ban uba oya hadanan ganan ...campus ekeda

    Is the given set taken with usual addition and scalar multiplication a vector space or not? Justify:
    i. All polynomials in , of degree not exceeding 5
    ii. All symmetric real matrices 4x4

    oya wage eka dunnama bn general eka aragena menna mewwa
    u + v is in V – This is called closed under addition.
    (b) cu is in V – This is called closed under scalar multiplication.
    (c) u + v = v + u
    (d) u + (v + w) = (u + v) + w
    (e) There is a special object in V, denoted 0 and called the zero vector, such that for all u in V
    we have u + 0 = 0 + u = u .
    (f) For every u in V there is another object in V, denoted -u and called the negative of u, such
    that u -u = u + (-u) = 0 .
    (g) c (u + v) = cu + cv
    (h) (c + k )u = cu + ku
    (i) c (ku) = (ck )u
    (j) 1u = u

    set ekama prove karanna epai bn 1k hadanna a4 4k iwtara yanawa bn pattama kammali itin:confused:
    wena ganan tikak nam kagena kagena yathaki :cool:
     

    Gasa84

    Well-known member
  • Jan 9, 2013
    23,957
    1,624
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    mama prasnayak ahannam......

    1. lamayin 1253k inna thankin lamayin 1ho 2k ho 30k ho thora ganime akara kiyak thibeda?
     

    Gasa84

    Well-known member
  • Jan 9, 2013
    23,957
    1,624
    113
    Is the given set taken with usual addition and scalar multiplication a vector space or not? Justify:
    i. All polynomials in , of degree not exceeding 5
    ii. All symmetric real matrices 4x4

    oya wage eka dunnama bn general eka aragena menna mewwa
    u + v is in V – This is called closed under addition.
    (b) cu is in V – This is called closed under scalar multiplication.
    (c) u + v = v + u
    (d) u + (v + w) = (u + v) + w
    (e) There is a special object in V, denoted 0 and called the zero vector, such that for all u in V
    we have u + 0 = 0 + u = u .
    (f) For every u in V there is another object in V, denoted -u and called the negative of u, such
    that u -u = u + (-u) = 0 .
    (g) c (u + v) = cu + cv
    (h) (c + k )u = cu + ku
    (i) c (ku) = (ck )u
    (j) 1u = u

    set ekama prove karanna epai bn 1k hadanna a4 4k iwtara yanawa bn pattama kammali itin:confused:
    wena ganan tikak nam kagena kagena yathaki :cool:

    kohomada karanne ban mewa:confused::confused::confused:
     

    1118lakmalkumara

    Well-known member
  • May 21, 2009
    30,487
    3,170
    113
    斯里蘭卡
    Is the given set taken with usual addition and scalar multiplication a vector space or not? Justify:
    i. All polynomials in , of degree not exceeding 5
    ii. All symmetric real matrices 4x4

    oya wage eka dunnama bn general eka aragena menna mewwa
    u + v is in V – This is called closed under addition.
    (b) cu is in V – This is called closed under scalar multiplication.
    (c) u + v = v + u
    (d) u + (v + w) = (u + v) + w
    (e) There is a special object in V, denoted 0 and called the zero vector, such that for all u in V
    we have u + 0 = 0 + u = u .
    (f) For every u in V there is another object in V, denoted -u and called the negative of u, such
    that u -u = u + (-u) = 0 .
    (g) c (u + v) = cu + cv
    (h) (c + k )u = cu + ku
    (i) c (ku) = (ck )u
    (j) 1u = u

    set ekama prove karanna epai bn 1k hadanna a4 4k iwtara yanawa bn pattama kammali itin
    wena ganan tikak nam kagena kagena yathaki


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