Let T be the linear operator on R
2 defined by
T(x, y) = (−y, x)
i. What is the matrix of T in the standard ordered basis for R2 ?
ii. What is the matrix of T in the ordered basis B = {α1, α2}, where α1 = (1, 2) and α2 = (1, −1)?
iii. Prove that for every real number c the operator (T − cI) is invertible.
What is the importance of nucleic acid studies in elucidation and treatment of diseases
What is the normal probability distribution for P ( -0.21< z < 0.85)?
State three errors of nucleic acid metabolism, note in each case the defective enzyme
An isotope of element 102, with a mass number of 253 was produced by bombarding 24096Cm with a projectile, which was absorbed by the target nucleus. This projectile should be ___.
In the histological specimen of connective tissue stained with hematoxylin-eosin one can see ramified cell that are in contact with one another. In general the cell form a network structure the spaces of which contain cord of lymphocytes. Which tissue is it
Prove the 3√7 is irrational
Let Z = i
(i) Write Z in a polar form
(ii) Use De Moivre’s Theorem to determine Z^4
Show that if an integer n is not divisible by 3, then n2 – 1 must be a multiple of 3
The standard reaction enthalpy for the docomposition of CaCl2.NH3(s) into CaCl2(s) and NH3(g) is nearly constant at +78kJmol-1 between 350 K and 470 K. The equilibrium pressure of NH3 in the presence of CaCl2.NH3 is 1.71kPa at 400K. Find an expression for the temperature dependence of change in Gibbs free energy in the same range