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Let |A|=|a(ij)|(3xx3) ne0 Each element ...

Let `|A|=|a_(ij)|_(3xx3) ne0` Each element `a_(ij)` is multiplied by by `k^(i-j)` Let `|B|` the resulting determinant, where `k_1 |A|+k_2 |B| =a` then `k_1+k_2 =`

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Let |A|=|a_(ij)|_(3xx3)!=0 Each element a_(ij) is multiplied by by k^(i-j) Let |B| the resulting determinant,where k_(1)|A|+k_(2)|B|=a then k_(1)+k_(2)=

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Knowledge Check

  • If A = (a_(ij))_(3xx3) where a_(ij) = cos (i+j) then

    A
    A is symmetric
    B
    A is skew symmetric
    C
    A is a triangular matrix
    D
    A is a singular matrix

  • Let P=[a_(ij)] be 3xx3 matrix and let Q=(b_(ij)) where b_(ij)=2^(i+j)a_(ij) for 1le I,jle3 . If the determinant of P is 2. then the determinant of the matrix Q is

    A
    `2^(10)`
    B
    `2^(11)`
    C
    `2^(12)`
    D
    `2^(13)`

  • The elements a_(ij) of a 2xx2 matrix are given by a_(ij) = (1)/(4) |-3 i + j| . Then, the value of element a_(21) is:

    A
    `-(5)/(4)`
    B
    `-(1)/(4)`
    C
    `(1)/(4)`
    D
    `(5)/(4)`

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    A=[a_(ij)]_(3xx3), then |k xx A|=k^(3)|A|

    If A=[a_(ij)]_(2xx3) , difined as a_(ij)=i^(2)-j+1 , then find matrix A.

    if A=[a_(ij)]_(3xx3) such that a_(ij)=2 , i=j and a_(ij)=0 , i!=j then 1+log_(1/2) (|A|^(|adjA|))

    The elements a_(ij) of a 3xx3 matrix are given by a_(ij)=(1)/(2)|-3i+j|. Write the value of element a_(32)

    Let A = (a_(ij)_(3xx3) be a matrix with a_(ij ) in C . Let B be a matrix obtained by inerchanging two columns of A . Then det (A+B) is equal to

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