If A = , then A + 2A^T equals -

If is to be square root of two rowed unit matrix then , and  should satisfy the relation

If the matrix M_r is given by M_r = , r = 1, 2, 3 .... Then the value of det (M₁) + det(M₂) + .... + det (M₂₀₀₉) is

The number of solutions of the matrix equationA² = is -

Helium was discovered by:

For a general reaction given, below the value of solubility product can be given as :

or
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H⁺ ion, OH^- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na⁺ , Zn²⁺, Pb²⁺ and Cu²⁺ and 0.10 M in H₂S at a pH of 1.0 ?

A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be

Let A = and A' . A = I, then the value of is -

If A is a n rowed square matrix, A = [a_ij] where a_ij =, [ ] denotes greatest integer, then det (A) =

If A = and f(x) = 1 + x + x² + … + x¹⁶, then f(A) =

Assertion : The expression n!(20 – n)! is minimum when n = 10.
Reason :   is maximum when r = m.

Let a matrix A = & P = Q = PAP^T where P^T is transpose of matrix P. Find P^T Q²⁰⁰⁵ P is

an invertible matrix gives identity matrix as the product when multiplied with its inverse.

Let A =& I = and A^-1= [A²+CA+dI], find ordered pair (c,d) ?

the roots of the characteristic equation give us the eigenvalues of the matrix.

Which of the following is an intermolecular redox reaction?

In which of the following processes is nitrogen oxidised?

Which one of the following statements, is true-

A square matrix is one whose number of rows are equal to the number of columns.