Please explain part a and b. ( I have attached an answer key). Consider the vectors10118-2032(a) These vectors are linearly dependent. Write one of them as a linear combination of the others.(b) Find a linearly independent subset of this set of vectors that has the same span (in other words, find abasis for the subspace spanned by these vectors). 1-21011-348, you will find that its-22For part (a), if you row-reduce the coefficient matrix1-202-321 021-4 0It follows from examining this RREF that one possible answer is1RREF is0101-22-3- 44= 2-32although other correct answers are possible. For part (b), since the first, second, and fourth columns of thecoefficient matrix have pivots in the RREF, a basis for the span of all four columns consists of these threeonly:1189.

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Consider the vectors 10 11 -3 -22 1 -20 9. -32 (a) These vectors are linearly dependent. Write one of them as a linear combination of the others. (b) Find a linearly independent subset of this set of vectors that has the same span (in other words, find a basis for the subspace spanned by these vectors).