If the equati on - 2x + y + z = l, x - 2 y + 2 = m, x + y - 2z = n such that l + m + n = 0, then the system has.
a non zero unique solution
trivial solution
infinitely many solution
no solution
A is orthogonal if AAT =
A
I
A-1
|A|I
The inverse of is.
Does not exit
If A is square matrix of order n, then |adj(A)| is __________.
|A|2
|A|n-1
|A|n
|A|
Let the determinant of a 3 × 3 matrix A be 6, then B is a matrix defined by B = 5A2, then, determinant of B is
180
100
80
none of these
If A is a symmetric matrix and n ∈N, then An is
symmetric matrix
a diagonal matrix
skew symmetric matrix
, then |AB| =
-110
92
a ( x + y + z )
0
abc + xyz + pqr
a ( x + y + z ) + b ( p + q + r ) + c
The inverse of a symmetric matrix is
symmetric
skew symmetric
diagonal matrix
AB does not exist
