The figure shows a basis B = {bj,b2 } for R² and a vector v in R?. y b1 b2 Custom basis B = {b1, b2 } a. Write the vector v as a linear combination of the vectors in the basis B. Enter a vector sum of the form 5 b1 + 6 b2. = b. Find the B-coordinate vector for v. Enter your answer as a coordinate vector of the form <5,6>. [v]B

Q: List five vectors in Span (v₁, V₂}. Do not make a sketch. V1 = 9 4 V2 -6 -4 3 0

A: Consider the provided question,Here, the scaler element are from the field .Therefore, elements of…

Q: 3. Write u= -=[3] as a sum of vectors, one in the direction of and another orthoganal to a. -1 a=

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Q: Fill in the blanks with numbers to show that the vector is a linear combination of the ---

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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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: Determine whether the vectors (1,2,3), (5,6,7), (9,10,11), and (4,8, 12) are linearly independent.

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

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Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-5,5,-5)…

A: We have to check whether the following vectors are orthogonal, parallel or neither.Orthogonal: Two…

Q: v = (9,5,6) w = (-8,4,-7) = J

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Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Pls help

A: We will use vector addition to find the answer

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.