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A is a square matrix of order n l=m max...

A is a square matrix of order n
l=m maximum number of distinct entries if A is a triangular matrix,
m=maxmum numberof distinct entries if A is a diagonal matrix,
p=minimum number of zerois if A is a triangular matrix,
If `l-p=2m-5`, then the order of the matrix is ...

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The correct Answer is:
`4`
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A is a square matrix of order n. l = maximum number of distinct entries if A is a triangular matrix m = maximum number of distinct entries if A is a diagonal matrix p = minimum number of zeroes if A is a triangular matrix If l + 5 = p + 2 m , find the order of the matrix.

If n=p, then the order of the matrix 7X (D) p xx n

Knowledge Check

  • Let A be a squarematrix of order n. l = maximum number of different entries if A is a upper triangular matrix. m = minimum number of zeros if A is a triangular matrix. p = minimum number of zeros if A is a diagonal matrix. If l+2m=2p+1 , then n=

    A
    1
    B
    2
    C
    3
    D
    4
  • If n=p , then the order of the matrix 7X-5Z is :

    A
    `pxx2`
    B
    `2xxn`
    C
    `nxx3`
    D
    `pxxn`
  • If the least number of zeroes in a lower triangular matrix is 10, then what is the order of the matrix ?

    A
    `3 xx 3`
    B
    `4 xx 4`
    C
    `5 xx 5`
    D
    `10 xx 10`
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    If A is a square matrix of order n and |A|=D, |adjA|=D' , then