• explain what you are doing,

An Australian study noted over a decade ago that evaluations in the 1990s did not establish if that country’s science awareness programme “caused Australians to become more or

Solution proposed by Roberto Tauraso, Dipartimento di Matematica, Universit`a di Firenze, viale Morgagni 67/A, 50134 Firenze, Italy.. We denote by σ(n) the sum of the divisors of

Using the above row reduced echelon form we now determine the kernel of A by solving the corresponding linear system with zero right-hand sides... How- ever, the hyperplane consists

In other words, the homogeneous linear systems associated to row equivalent matrices have the same solutions. This follows because each individual ERO leaves unchanged the solu-

By (RC1), solutions only exist if all these ranks are

In the case of a matrix in reduced row echelon form this is even easier: the pivot columns are

Discuss the solutions x of the equation ax = b, where a, b are real numbers. (Suggerimento: You should say under which conditions on a, b the equation has solutions, and then how

Prove that the set R n together with the operations of sum of n-tuples and multiplication by scalars is a vector space.