Let `A=([a_(i j)])_(3x3)` be a matrix such that `a_(11)=a_(33)=2` and all the other elements `a_(i j)=1` . `A^(-1)=` `A^2+5A-I` (b) `A^2-5A+5I` `A^2+5A-5I` (d) `A^2+5A+5I`

If A=[a_(i j)] is a 3xx3 scalar matrix such that a_(11)=2 , then write the value of |A| .

If A=[a_(i j)] is a 3xx3 diagonal matrix such that a_(11)=1 , a_(22)=2 and a_(33)=3 , then find |A| .

If A=[a_(ij)]_(3xx3) is a scalar matrix such that a_(ij)=5" for all "i=j," then: "|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|))

A is a 2xx2 matrix, such that A={:[(a_(ij))]:} , where a_(ij)=2i-j+1 . The matrix A is

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

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

Let A=([a_(i j)])_(3xx3) be a matrix such that AA^T=4Ia n da_(i j)+2c_(i j)=0,w h e r ec_(i j) is the cofactor of a_(i j)a n dI is the unit matrix of order 3. |a_(11)+4a_(12)a_(13)a_(21)a_(22)+4a_(23)a_(31)a_(32)a_(33)+4|+5lambda|a_(11)+1a_(12)a_(13)a_(21)a_(22)+1a_(23)a_(31)a_(32)a_(33)+1|=0 then the value of 10lambda is _______.

Construct a 2xx3 matrix A=[a_(ij)] whose elements are given by a_(ij)=(1-j)/(1+i)

Let A=[a_(ij)]_(3xx3) be a matrix such that a_(ij)=(i+2j)/(2) where i,j in [1, 3] and i,j inN . If C_(ij) be a cofactor of a_(ij), then the value of a_(11)C_(21)+a_(12)C_(22)+a_(13)C_(23)+a_(21)C_(31)+a_(22)C_(32)+a_(33)C_(33)+a_(31)C_(11)+a_(32)C_(12)+a_(33)C_(13) is equal to