[2 Let A = 0 1 1. Rank(A) is 2. Nullity(A) 3. The vector v A 3 2 2 5 24 4 2 2 2 2 3 4 46 27 3 4 (vektörü A nin sütun uzayının) # in the column space of Uygular
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- Write the vectors as a linear combination of ?⃗ 1,2,3Enter your answer as a vector. Example: Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for InfinityLet 5 -- V₁ If possible, express was a linear combination of the vectors and 2. Otherwise, enter DNE. For example, the answer w = 4v₁ +5₂ would be entered 4v1 + 5v2. W =
- SOLVE ALL PARTS WITH CLEAR EXPLANATION Determine whether the following statements are true or false. Justify your answers. (a) When u and v are nonzero vectors, Span (u, v) contains only the line through u and the origin, and the line through v and the origin. (b) Any set of 3 vectors in R^4 must be linearly independent. (e) When there is a choice in the sequence of row operations, different sequences of row operations can produce different reduced echelon forms for the same matrix A.Write each vector as a linear combination of the vectors in S. (Use s and s, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S- ((6, -7, 8, 6), (4, 6, -4, 1)} (a) u- (-54, 127, -128, -72) -(실종 10, ). 41 75 (b) 2 4 (c) (d) z- (4, -2, 3, )Find the vector that has the same direction as <6, 3, −2> but has length 2.
- se. Justify_your answer 1 1 1 1 -1 is a linear combination of the vectors y,= 2 -1 V3= Show whether or not the vector V = ,V2= -1 -2 1 -1 Attach File Browse Mv Computer2. VectorsIn each part express the vector as a linear combination of ~p1 = 2 + x + 4x 2, ~p2 = 1 − x + 3x 2, and ~p3 = 3 + 2x + 5x 2. i. -97x15x 2 ii. 6 + 11x + 6x 2 iii. O iv. 7 + 8x + 9x 2