Linear Algerbra Question, please solve (1 pt) The vectors 2 1 -3 -3 8 -7 and...
Linear Algebra (Vectors) - Practice Problem Please only answer if you are 100% sure of solution. Thank you. (1 point) Determine which of the following sets of vectors are linearly independent and which are linearly dependent. 2 2 1. 4 ✓ Select an answer Linearly independent Linearly dependent -9 B 23 1 -17 14 Select an answer 2. 11 23 -46 Select an answer 3. -3 -4 -27 -36 -8 -10 -5 3 10 -5 1 3 -10 -5 Select...
please help with this linear algebra question Question 10 [10 points] Let V be a vector space and suppose that {u, v, w is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {-v-3w, 2u+w, -u-2v} is linearly independent b) {-3v-3w, -u-w, -3u+3v} < Select an answer >
linear algebra please show work and steps 16. Determine if the vector = an D= (2 2 is a linear combination of the vectors: u; - and uz = 11 17. Determine if the vector 5 = 8 is in the span of the columns of the matrix. A = 5 112) Ecos 2 6 10 3 7 11) 19 18. Determine if the sets of vectors -5 are linearly independent. If the sets are linearly dependent, find a dependence...
linear algebra- Linear independence Problems 1. Show that the following sets of vectors in R" are linearly dependent: U = (-1,2,4) and V = (5.-10,--20) in R. (b) U = (3,-1), V =(4,5) and W = (-4,7) in R2. 2. Are the following sets of vectors in R3 linearly independent or linearly dependent? Show work. (-3,0,4), (5,-1, 2) and (1, 1,3) (b) (-2,0,1), (3, 2,5), (6,-1,1) and (7,0,-2)
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
It's saying A, D and E wrong but was pretty sure that was answer (1 pt) The dot product of two vectors and y Yn TI in R" is defined by - y = 1Y1 + X2Y2 + . ..+ xnyn The vectors and y are called perpendicular if x y = 0 6 8 Then any vector in R perpendicular to -9 can be written in the form (1 pt) All vectors are in R Check the true statements...
Can I get help with questions 2,3,4,6? be the (2) Determine if the following sequences of vectors vi, V2, V3 are linearly de- pendent or linearly independent (a) ces of V 0 0 V1= V2 = V3 = w. It (b) contains @0 (S) V1= Vo= Va (c) inations (CE) n m. -2 VI = V2= V3 (3) Consider the vectors 6) () Vo = V3 = in R2. Compute scalars ,2, E3 not all 0 such that I1V1+2V2 +r3V3...
7. (a) Are the vectors (1,-1, 2, 1), (-1,-3, 3, 2), (2, 2, -1,-1), (3, 1, 1, 2) linearly independent? (b) Do the above vectors form a basis for R? (c) Can you write the vector v = (0,-4, 5, 2) as a linear combination of the above vectors? (15 points)
please help thank you, (1 point) Which of the following sets of vectors are linearly independent? A. {( 10, -16), (-5, 8 )} B. {(-4, -7, 1, -8), (1, 3, 9, 7)} c.{(-2, -6)} D.{(1, 3), (-7, 1)} E.{(-9, 4), (0,0)} F.{(0,0)} G.{(-3, 7), (9,-4), (5,-8)} H.{(6, 1, -8), (1, 2, 5)} (1 point) Are the vectors and 10 28 linearly independent? 19 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the...
help with linear algebra hw (1 point) Are the vectors and -8 linearly independent? 12 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 0 -4 + 0 + 0