Show that. `lambda = I alpha` [Where `lambda` = torque, L= Moment of inertia and `alpha` = angular acceleration]

What is the relation between torque and moment of inertia?

What is the relation between torque and angular acceleration?

What physical quantity is represented by the product of moment of inertia and the angular velocity.

What is the vector relation of linear acceleration vec(a) and angular acceleration (vec(alpha)) ?

Where will you find alpha granules?

If no torque acts on a rotating body and if its moment of inertia decreases the angular velocity omega of the body increases such a manner that

If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

Show that if lambda_(1), lambda_(2), ...., lambda_(n) are n eigenvalues of a square matrix a of order n, then the eigenvalues of the matric A^(2) are lambda_(1)^(2), lambda_(2)^(2),..., lambda_(n)^(2) .