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A matrix A is both symmetric and skew symmetric if A is
none of these
(kA)'= (where k is any scalar)
A square matrix is known as symmetric matrix if
None of these
Square matrix B is known as skew symmetric if
none of these
Every square matrix can be uniquely expressed as sum of a symmetric and skew symmetric matrix.
For a square matrix A , A+A' is always a
Skew Symmetric matrix
May be symmetric or may be skew symmetric
Can't say .
For a square Matrix A, A-A' is always a
Skew Symmetric Matrix
None of the above
Diagonal elements of a skew symmetric matrix are all zero
If all diagonal elements of a square matrix A are zero then
A is a symmetric matrix
A is a skew symmetric matrix
A may or may not be skew symmetric matrix
Never a skew symmetric matrix
If A and B are square matrix of same order and B is a skew symmetric matrix then the matrix ABA' is
Not a square matrix
Skew symmetric matrix
May be symmetric may be skew symmetric
If A is a square matrix then AA'
Is not defined.
Is a skew symmetric matrix
Is a symmetric matrix
If A and B are symmetric matrices of same order then
a skew symmetric matrix
a symmetric matrix
always a null matrix
If A is a symmetric matrix then order of the A may be
Only Batra Sir knows
If A and B are square matrices of same order then AB'-BA'
is a null matrix
is not defined
is a symmetric matrix
is skew symmetric matrix
If a square matrix A is symmetric matrix then kA is (where k is some scalar)
a symmetric matrix.
a skew symmetric matrix.
Symmetric matrix if k is positive
symmetric if k is negative