let A `={{:({:(a_(11),a_(12)),(a_(21),a_(22)):}):a_(ij){0,1,2} and a_(11)=a_(22)}`
then the number of singular matrices in set A is

If A=[(a_(11),a_(12)),(a_(21),a_(22))] , then minor of a_(11) (i. e., M_(11)) is

if (1+ax+bx^(2))^(4)=a_(0) +a_(1)x+a_(2)x^(2)+…..+a_(8)x^(8), where a,b,a_(0) ,a_(1)…….,a_(8) in R such that a_(0)+a_(1) +a_(2) ne 0 and |{:(a_(0),,a_(1),,a_(2)),(a_(1),,a_(2),,a_(0)),(a_(2),,a_(0),,a_(1)):}|=0 then the value of 5.(a)/(b) " is " "____"

If A=[[a_(11), a_(12), a_(13)], [a_(21), a_(22), a_(23)], [a_(31), a_(32), a_(33)]] and a_(ij) denote the cofactor of element A_(ij) , then a_(11)A_(11)+a_(12)A_(12)+a_(13)A_(13)=

If A=[{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}] and A_(ij) is co-factos of a_(ij) , then A is given by :

If matrix A=[[1, 0, -1], [3, 4, 5], [0, 6, 7]] and its inverse is denoted by A^(-1)=[[a_(11), a_(12), a_(13)], [a_(21), a_(22), a_(23)], [a_(31), a_(32), a_(33)]], then the value of a_(23) =

Let A=[a_(ij)]_(3xx3) be a matrix such that A A^T=4T and a_(ij)+2c_(ij)=0 , where c_(ij) is the cofactor of a_(ij) and I is the unit matrix of order 3 . |(a_11 +4 , a_12 , a_13),(a_21 , a_(22)+4 ,a_23),(a_31,a_32,a_(33)+4)|+5lambda|(a_(11)+1 , a_12,a_13),(a_21,a_(22)+1, a_23),(a_31, a_32 , a_(33)+1)|=0 then the value of 10lambda is ____

If A=[[a_(11), a_(12), a_(13)], [a_(21), a_(22), a_(23)], [a_(31), a_(32), a_(33)]] and A_(ij) denote the cofactor of element a_(ij) , then a_(11)A_(21)+a_(12)A_(22)+a_(13)A_(23)=

Consider A=[(a_(11),a_(12)),(a_(21),a_(22))] and B=[(1,1),(2,1)] such that AB=BA. then the value of (a_(12))/(a_(21))+(a_(11))/(a_(22)) is

If Delta=|[a_(11),a_(12),a_(13)],[a_(21),a_(22),a_(23)],[a_(31),a_(32),a_(33)]| and A_(i j) is cofactors of a_(i j) , then value of Delta is given by A. a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33) B. a_(11)A_(11)+a_(12)A_(21)+a_(13)A_(31) C. a_(21)A_(11) + a_(22)A_(12) + a_(23)A_(13) D. a_(11)A_(11) + a_(21)A_(21) + a_(31)A_(31)

Let A=[a_("ij")]_(3xx3) be a matrix such that A A^(T)=4I and a_("ij")+2c_("ij")=0 , where C_("ij") is the cofactor of a_("ij") and I is the unit matrix of order 3. |(a_(11)+4,a_(12),a_(13)),(a_(21),a_(22)+4,a_(23)),(a_(31),a_(32),a_(33)+4)|+5 lambda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then the value of lambda is