Let B = vector of 7 = E [V]B 0 1 00 {[%] [83] [28] [89]} 9 9 relative to B. -5 -2 || be an ordered basis for M₂x2. Find the coordinate

Q: [1 2] 3 6 Let A = Write the vector u = (4,3) as u = u, + u„ where u̟ and un belong to the row space…

A: The given matrix is A=1236. Obtain the reduced row echelon form of matrix A as follows…

Q: c. Find the coordinate vector of the polynomial q(t)=3t² − 6t+2, relative to the basis for P₂ in…

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Q: Express the vector v = -12 -28 as a linear combination of x = 2 [² and y= -1 -6

A: We can write the answer in the below steps.

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: Let x 4 || - N and y = Find the vector v = 3x - 4y and its additive inverse. 18 [2] 4

A: The additive inverse of a vector v = <a , b> is  - v = <-a , -b>

Q: Find the coordinate vector [x] of x relative to the given basis B= (b₁,b₂}. 1: 2 MAM-HA = -5 b₁ -3…

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Q: 5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V…

A: We have to show that-w is not a linear combination of u,u and v are linearly independent,w is a…

Q: I need help with this assignment. they all should have 4 places after the decimal place unless the…

A: Solution:

Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: Suppose |||| = 5 and |||| = 6, and assume and y are orthogonal. Then ||-||²7

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Q: 3.2.1 Vector Cross Product Let vectors: A = (1, 0, −3), B = (–2, 5, 1), and C = (3, 1, 1). Part…

A: Since, you have posted a question with sub-parts greater than three. We will provide the solution…

Q: Find the length of the projection of [−8 −7]onto the vector [−7 5]   Its written vertically…

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Q: .3.21. Determine whether the given vectors are linearly independent or linearly dependent: 2 (¹).…

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Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

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Q: 2.30 Let r denote a position vector r = x= xê, (r² vector. Use index notation to show that: (a) ²…

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Q: Show how v is orthogonal to any linear combination formed by w1 and w2

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Q: 7. Let +-() वे = -2 and -4 2 3 Find a real number x and a vector such that = -x and 17.

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Q: 3.10. Rotate the vectors by 30%. *:[],三闾

A: We have to Rotate the given vectors by 30°.