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Square matrix [a(ij)](ntimesm) will be a...

Square matrix `[a_(ij)]_(ntimesm)` will be an upper triangular matrix, if

A

`a_(ij)ne0` for igtj

B

`a_(ij)=0` for igtj

C

`a_(ij)=0` for iltj

D

None of these

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The correct Answer is:
B
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Knowledge Check

  • A matrix A=[a_(ij)]_(mxxn) is

    A
    Horizontal matrix if `mgtn`
    B
    Horizontal matrix if `mltn`
    C
    Vertical matrix if `mgtn`
    D
    Vertical matrix if `mltn`

  • A matrix A=[a_(ij)] is an upper triangular matrix, if

    A
    it is a square matrix and `a_(ij) =0,iltj`
    B
    it is a square matrix and `a_(ij) =0,igtj`
    C
    it is not a square matrix and `a_(ij)=0,igtj`
    D
    it is not a square matrix and `a_(ij) =0,iltj`

  • Which of the following is an upper triangular matrix ?

    A
    `[(2,3,4),(0,4,6),(0,0,7)]`
    B
    `[(2,0,0),(3,5,0),(5,6,7)]`
    C
    `[(1,0,0),(0,2,0),(0,3,4)]`
    D
    None of these

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