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construct 2xx2 matrix if A=[a(ij)] whose...

construct `2xx2` matrix if `A=[a_(ij)]` whose elements `a_(ij)` are given by : `(i-j)^2/2`

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Construct a 2xx2 matrix, A=[a_(ij)] , whose elements are given by: (i) a_(ij)=((i+j)^(2))/(2) (ii) a_(ij)=(i)/(j) (iii) a_(ij)=((i+2j)^(2))/(2)

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Knowledge Check

  • A matrix A=[a_(ij)]_(mxxn)is.....

    A
    a horizontal matrix if `mgtn`
    B
    a horizontal matrix if `mltn`
    C
    a vertical matrix if `mgtn`
    D
    a vertical matrix if `mltn`

  • If A=[a_(ij)] is a 3xx2 matrix whose elements are given by a_(ij)=3i-2j , then A will be__

    A
    `{:[(1,1),(4,2),(7,5)]`
    B
    `{:[(1,-1),(4,2),(7,5)]`
    C
    `{:[(-1,-1),(4,2),(7,5)]`
    D
    `{:[(1,-1),(4,-2),(7,5)]`

  • If A=[a_(ij)] is a 2xx3 matrix whose elements are given by a_(ij)=(1)/(2) |3i-4j|, then A will be ___

    A
    `{:[(1/2,5/2,9/2),(1,1,3)]`
    B
    `{:[(1,5,9),(1/2,1/2,3/2)]`
    C
    `{:[(1/2,5/2,9),(1,1,3)]`
    D
    `{:[(1/2,5/2,9/2),(1/2,1/2,3/2)]`

    • Similar Questions

    Explore conceptually related problems

    Construct a 3xx2 matrix whose elements are given by a_(ij)=(1)/(2)|i-3j| .

    Construct a 3xx4 matrix, whose elements are given by: (i) a_(ij)=(1)/(2)|-3i+j| (ii) a_(ij)=2i-j

    Construct a 3 xx 4 matrix, whose elements are given by: a_(i j)=1/2|-3i+j|

    Let A be the 2 xx 2 matrix given by A=[a_("ij")] where a_("ij") in {0, 1, 2, 3, 4} such theta a_(11)+a_(12)+a_(21)+a_(22)=4 then which of the following statement(s) is/are true ?

    A=[a_(ij)]_(mxxn) is a square matrix, if

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