• explain what you are doing,

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

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

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.

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