Let A and B are two non-singular square matrices, and
are the transpose matrices of A and B respectively, then which of the following is correct
AB is symmetric matrix if and only if A is symmetric
AB is symmetric matrix if and only if B is symmetric
AB is skew symmetric matrix for every matrix A
AB is skew symmetric matrix if B is skew symmetric
Property of Transpose -
- wherein
being scalar ;
is transpose of A
Symmetric matrix -
If and
for all
and
- wherein
Skew symmetric matrix -
If and
for all
and
- wherein
if A is symmetric
is symmetric if A is symmetric
Also
is not skew symmetric if B is skew
5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.820C. If Na2SO4 is 81.5% ionised, the value of x (K
A capacitor is made of two square plates each of side 'a' making a very small angle
A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO3 to give fraction A. The leftover organic phase was extracted with d