If `A=[a_(i j)]` is a `2xx2` matrix such that `a_(i j)=i+2j` , write `A` .

If A=[a_(i j)] is a square matrix such that a_(i j)=i^2-j^2 , then write whether A is symmetric or skew-symmetric.

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 square matrix of even order such that a_(i j)=i^2-j^2 , then (a) A is a skew-symmetric matrix and |A|=0 (b) A is symmetric matrix and |A| is a square (c) A is symmetric matrix and |A|=0 (d) none of these

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| .

Let A=[a_(ij)]_(mxxn) be a matrix such that a_(ij)=1 for all I,j. Then ,

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

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) A^2+5A-I (b) A^2-5A+5I (c) A^2+5A-5I (d) A^2+5A+5I

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 _______.

If A=([a_(i j)])_(3xx3), such that a_(i j)={2,i=j and 0,i!=j ,t h e n1+(log)_(1//2)(|A|^(|a d jA|)) is equal to a. -191 b. -23 c. 0 d. does not exists

If A=([a_(i j)])_(3x3') such that a_(i j)={2,,i=j0,i!=j ,t h e n |A|=8 (b) |A d jdotA|=32 C+log_(1/2)(|A|^(|A d jdotA|))=-191 |A d jdot(A d jdotA)|=12^(12)