-3 -3 9. 2 Let A = -3 -6 12 and b = 3 -3 -2 13 -5 Denote the columns of A by a1, a2, a3, and let W = span (a], a2, a3). Select Answer 1. Determine if b is in W Select Answer 2. Determine if b is in (a1, a2 a3) How many vectors are in (a1, a2 a3)? (For infinitely many, enter -1) How many vectors are in W? (For infinitely many, enter -1)

Q: Recall that ., /, .- are component-wise operations. Make row vectors a = 0 : 1 : 3 and b [-1 0 1 2].…

A: 1.1 The code and error of the following commands are given below.

Q: 10 -5 5 Let A = 0 2 -4 Denote the columns of A by a,, a,, az, and let W = Span{a, a, az) and b = 1…

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Q: 3. Determine if the sets of vectors given are LI or LD and explain how you know. a) {(3,4),…

A: Here we apply theorems from linearalgebra.

Q: AB, BC, AC.

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Q: [-5 -5 [-3] 1. For the matrix A 2 -3 determine (and explain why) if vector ú 3 is | 4 2 3 2 a. in…

A: GIVEN A=-5-5002-3423 to determine if vector u→=-332

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Q: Need help with orthogonal vectors.

A: Step 1: Step 2: Step 3: Step 4:

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A: The given matrix is ;                     A =  577-10-311-86713914 If  C1 , C2 , C3  and  C4  are…

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Q: 10 - 2 7 Let A = 0 3 3 and b = 3 Denote the columns of A by a,, a2, ag, and let W = Span (a,, a2,…

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Q: Given the vectors Â=2a_+5a_+7a_ B= a +6a +3a X Evaluate the following |B|a¸ −3Ã O 4.4641a-11.1603a -…

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A: Given that the vectors w=-146 , v1=5-4 ,  v2=-4-3 ,  v3=11 .

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Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

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Q: 1 3 5. -2 ? Why? 5. -2 2 B = 3 -1

A: The solution is given as

Q: Suppose aj, az, az, and a, are vectors in R and they are, in order from left to right, the four…

A: We are entitled to solve up to 3 sub-parts only, so we will answer only the first three sub-parts.…

Q: 2 aj = a2 = az = b = Determine if vector b is a linear combination of vectors a1, a2, and аз. Show…

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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…

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Q: 10 - 5 Let A = 0 4 -6 and b= - 10 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2,…

A: Given :-  Let A = 10-504-6-284    and   b = 3-10-32.  Denote the columns of A by a1 , a2 , a3. Let W…

Q: Given are the following vectors: ā₁ āz a3 span{a1, 2, d3} span{a1, a2, a4, a5} span{a₂, a4} span{a2,…

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Q: Given the vectors A=2a + 5a +7a₂ X y B=-a +6a +3a_ y 2 Evaluate the following Ba-3A O-2.5021a…

A: Given: The given vectors are:                        A→=2ax+5ay+7az…

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where w = (2, 1, 2), v₁ =…

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Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

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A: see 2nd step.

Q: a. Express each column vector of AB as a linear combination of the column vectors of A. b. Express…

A: a. To express each column vector of AB as a linear combination of the column vectors of A, we can…

Q: 10 -2 Let A = 0 3 -4 and b= 5 . Denote the columns of A by a, , a2, a3, and let W = Span {aq, a2,…

A: Given A=10-203-2-462 and b=152 Column of A denoted by a1, a2, a3 W=spana1,a2,a3

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: How do you know if three vectors are on the same line? (when they are on the same line we call them…

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Q: Determine whether b is in the column space of A. -1 0 2 -21 3 8-10, b = 2 1) A = 5 -3-3 6 -

A: From the given matrix A, we see     Column space of A is spanned by the vectors (-1, 5, -3)t , (0,…