A is orthogonal if AAT =
A
I
A-1
|A|I
, then A100 is equal to
2100 A
299 A
100 A
If A and B are square matrices of the same order such that (A+B) (A-B) = A2 - B2, then (ABA-1)2 is equal to
B2
A2B2
A2
If A is matrix of order 3, then det (KA) = ____________.
K3 det (A)
K2 det (A)
K det (A)
det (A)
Inverse of is.
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
-2
2
-4
4
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
If A is a square matrix, A' is its transpose, then 1/2 ( A-A' ) is
a symmetric matrix
skew symmetric matrix
a unit matrix
an elementary matrix
, then |AB| =
-110
92
