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A matrix is a representation of a linear map with respect to any basis of vectors of our choice. We often deal with matrices with respect to the standard cartesian basis, (1,0,0) (0,1,0) (0,0,1), but we c...

The first step is to rearrange for x: we have x=2y-3now we can plug this into the equation of the ellipse: y^2+2(2y-3)^2=39y^2-24y+15 = 0we can use the quadratic formula to solve this equation:y = (24+-sq...

When contemplating whether to use Ser or Estar, I find the best expression to help you remember is 'for how you feel and where you are always use Estar'!Despite both verbs meaning 'to be', ser is used wh...

There are many different uses for the subjunctive tense or 'congiuntivo' however it is most commonly used when the speaker or writer is expressing uncertainty or doubt instead of a fact. The subjunctive o...

The first stage of mitosis is ProphaseAt prophase...The already duplicated DNA within the nucleus condenses (coils up) to form sister chromatids, connected by a centromereThe nucleolus and nuclear envelop...