V is a 4-dimensional vector space with basis B = (v1, v2, v3, v4). Set wi = v1 + V2 + v3 + V4 , W2 = vị + 2v2 + 3v3 + 2v4. w3 = V1 + V2 + 2v3 + 4v4, w4 = v1 + 2v2 + 2v3. Then B' also a basis of V. T : V → V is a linear transformation such that T(wi) = T(w2) = 0v,T(w3) = wi, T(w4) = w2. (w1, w2, w3, w4) is If T(v4) = avi + bv2 + cv3 + dv4 which of the following is a + b +c+d?

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.