Suppose you wish to show that the set of vectors−1235,460 −2,55−2−3,−1341 ,−4−241is linearly dependent.(a) Enter a matrixAwhich can help you show this and userrefon it.(b)?Explain how you can tell from therrefthat the vectors are linearly dependent.(c)?Give a nontrivial linear combination of the vectors which yields0. (Hint: Make a free variablenonzero.)(d)?Find a theorem in§1.7 which allows us to conclude, without doing any of the previous compu-tations, that this set must be linearly dependent.(e)?Does this set of vectors spanR4? Justify your answer.