Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 = -5 , and b 5 O We can write v as a linear combination of the given vectors. BA -4+-6 x -2 -11 X-5 Ob is not a linear combination of a₁,a2 and ag 11] 5

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Write a vector equation that is equivalent to the given system of equations. X2 + 5x3 = 0 5x1 + 6x2…

A:

Q: Express each column vector of BB as a linear combination of the column vectors C₁, C₂, and c3 of B.…

A:

Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: Consider the following vectors: 2 4 3 8 -3 c²= -8 -3 3 7 For each of the following vectors,…

A: Given that              a→=23-33, b→=48-85, c→=2-367

Q: Write a system of equations that is equivalent to the given vector equation. 2 -3 + X3 X1 - 3 + X2 2…

A: We will find which option is correct as following.

Q: SOLVE THE FF AND MAKE SURE THAT YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKE SURE YOUR SOLUTION…

A:

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

A:

Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

A:

Q: Vectors. 3U-4v U=6,7 and v=6,-7

A:

Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

A:

Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

A:

Q: The sum of -5ỉ + 3j is the vector . а. TRUE FALSE b. The vectors ở = aỉ + bj and d = are orthogonal.…

A:

Q: Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο…

A: The objective of this question is to find the result of the scalar multiplication of the vector u by…

Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

A:

Q: Let a = (8,-6,7) and b = (-1,4, -3) be vectors. Compute the following (the answers to A, B, C are…

A: Given vectors  a = <8,-6,7> b=<-1,4,-3>

Q: 3. The scalar triple product for the three vectors A=(5,-1.1), B=(-2,0,4), C = (3.,4,5) is A.-74 B.…

A:

Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

A:

Q: a = 3 For each of the following vectors, determine whether it can be written as a linear combination…

A: In this question, we will determine whether it can be written as a linear combination of these…

Q: Find a + b, 4a + 2b, lal, and la bl. (Simplify your vectors completely.) a = 4i 3j+ 2k, b = 2i - 4k…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

A:

Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

A:

Q: Determine whether b is in the column space of A. If it is, then write b as a linear combination of…

A:

Q: -2 -B-8 Let u₁= -2 and ₂ = -20 -4 If W = Span {₁, 2}, determine whether each of the following…

A:

Q: Consider the following vectors: 1 a = -3 b = -9 c = 9 -3 -9 8 For each of the following vectors,…

A:

Q: "Given that 3 -4 = 5 -3+ 2 5 ܐ write 3 as a linear combination of the vectors -2 + 5 -3 -2 5 -4 1 2…

A: Here , a vector is given and now we have to represent it as a linear combination of three vectors .

Q: ste each vector as a linear combination of the vectors in S. (Use 51 and 52, respectively, for the…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: write 4 Given that = 3 -5 4 2 3 4 as a linear combination of the vectors -5 4 -5+ -5 3 3 -2 5 -4 -3…

A: We will write  as a linear combination of the vectors

Q: Given vectors a = (-3, 4, 4), b =(5, 1, 3), c = (-1, 5, 4) calculate a (b x c) and (a x b).c Enter…

A:

Q: Write a = 18 (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to b = If a = a…

A:

Q: a, b, and c are vectors. Then the expression axc+bxa is (a) Meaningless (b) A vector collinear with…

A:

Q: Are the vectors -2-x², 1+ 2x + x² and 2x - 2-2 linearly independent? choose If the vectors are…

A: