§7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ Is S₁ LI, LD or neither? Is S₂ LI, LD or neither? Is the set { , } LI, LD or neither? = { 7 }, S₂ = { 0

Let {1₁, 1₂, 13, 14} be a linearly independent set of vectors. Select the best statement. OA. {1₁, 12, 13} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OB. {u₁, U₂, U3} is never a linearly independent set of vectors. OC. {1₁, 12, 13} is always a linearly independent set of vectors. D. none of the above

Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

Q7. Two vectors are defined as A = a,+ 5ay +3a, and B = the following vector is perpendicular to (A+ B) -4a,+4ay 3a,+ 2a, + a,. Which of %D 4ay-7a, ax+ az None of these

§7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ Is S1 LI, LD or neither? Is S₂ LI, LD or neither? 1 7 = Is the set { , } LI, LD or neither? 0 0 1 7 { 3 }, S₂ = { 0 }. 0

The vector y is a numerical vector. Which ONE of the following best describes what the R code below will calculate?   sum(!is.na(y)) A logical vector of the same length as the vector y, which takes the value TRUE for values in y which are NOT missing and FALSE for values in y which ARE missing.   Replaces each value in y with TRUE if it is not missing and FALSE if it is missing   The number of non-missing values in the vector y.   The number of missing values in the vector y.   The propostion of non-missing values in the vector y.

determine whether each vector belongs to Col A, where A =[1,-2,-1,0;0,1,3,-2;-2,3,-1,2]   b=[1,-3,3]

f.2 lineal algebra  Please provide a clear, correct, and well explained solutioon for the following

. Create a vector named prob18a that has 10 elements of which the first is 8, the increment is 7, and the last element is 71. Then, assign elements of prob18a to a new vector prob18b such that prob18b has 7 elements. The first 4 elements of prob18b are the first 4 elements of the vector prob18a and the last 3 elements of prob18b are the last 3 elements of prob18a. Do not type the vector elements explicitly.