Find the value of a for which V= 2 a 5 is in the set a= H = span -5 3 5 0 -3 -5 0 -2

Q: d) Complete the following table.

A: For the function g(x), Each input has a unique output, hence the function is invertible.

Q: let a1 is (-3,2,6) a2 is (-9,-7,-2) and b is (-18,-27,-23). Is b in the span of of a1 and a2

A: The objective of this question is to determine whether the vector b is in the span of vectors a1 and…

Q: Find the value of a for which V= 8 a 4 is in the set a = 4 -5 0 -8-8-8} 4 -3 H = span

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Q: Consider the subset of P3 Q = {−6x² + 4x − 6, −24x² + sx + 6, 2sx + s} Find the two values of s for…

A: In this question, we will find the values of 's' for which a given set is linearly dependent.

Q: Let z = and w = . 15 a. Find w +z=<-11 b. Find w - 2z = <6 -22

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Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A: We have to write the linear combination of the given data.

Q: Find all values of x for which rank(A) = 2. 1205 A = x= 0 2 7 x 19 -3 -3 -2 -6

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Q: In Exercises 1 through 6, compute the product in the given ring. (12)(16) in Z24 3. (11)(-4) in Zis…

A: Solution is given below:

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Find the value of a for which V= 8 a a 4 is in the set H = span 4 4 -5 0 -3

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Q: The domain for variable x is the set 1, 2, 3. The table below gives the values of P(x, y) for every…

A: Given the table:Let's interpret as (since the symbol # wasn't defined explicitly). Using this, we…

Q: Determine whether b can be written as a linear combination of a, and a2. In other words, determine…

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Q: Find the value of a for which v= 8 a -4 -12 is in the set 4 0 -4 -1 0 {6E9 2 -3 5 -3 -4 2 H = Span

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Q: Determine whether b can be written as a linear combination of a₁ and a2. In other words, determine…

A: Please refer to the solution in next step.

Q: Find the value of a for which 4 a v = -13 -14 is in the set -4 -5 5 H = span 4 -1 5 a =

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Q: Give a example of a set of 4 points in r3 that are in general positions

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