Let W = Span(S), where %3D 1 S = 3 -1 Find a basis for W and calculate dim(W).

Q: Let V= Ips Let B= Ź(1?,3)(0,2),(-2,0,D}be a basis for V. Find the courdinate vector Of the rector X…

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Q: 1 4 3 Given det 2 5 12 . Find the determinant of the -2 -4 10 | 1 -12 3 matrix -6 -2 12 10

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Q: . (Section 14.4) Let curve C be described by vector function(t) = (cost-1, sint, 3/2) on 0 ≤ t ≤ b.…

A: The curve C is defined by the function,on the interval,The length of the curve on the given interval…

Q: Find the coordinate vector (v)s relative to the basis S={v,,V2,V3} for v = (2, 1, -2), if V= (2, 2,…

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Q: State the main idea for the Newton form of the basis?

A: Let there is a polynomial.  The polynomials of Newton’s basis are defined as:

Q: Find a vector G with curlG = sin xk.

A: Let F → = d1i+d2j+d3kThen curve F → =∇xF → =ijkddxddyddzf1f2f3Let us consider G→ = g1i+g2j+g3kThen…

Q: Sketch level curves z = 9, 16, 21, and 24 for the functionz = 25 − x2 − y2. Include the graphs of…

A: Given the function z=25−x2−y2

Q: S=CVi ,Vz, Vz, Ve) Vi=(1,2,2) V, = (3,2,1) Vz =CII,10,7) Ve = (7,6,4) find R W=span3 bosis and dim W

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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: Find the missing coordinates such that the three vectors form an orthonormal basis for R³: -0.8 0.6…

A: If set is orthonormal then norm of vector is 1 and scalar product of vectors is 0

Q: {} Find in R² whose coordinate vector relative to the basis B is [x]B Let B = x = 12 -5 -6 [:] 5

A: Introduction: The coordinate vector of an element of vector space related to basis is the vector…

Q: Find a basis for span(sin2x, cos2x, cos 2x) in F

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Q: Is v = |1a vector in the span of S = }|2| Use Gaussian elimination to support your answer.

A: To check v=111 a vector in a span of S=123, 012, -201 or not.

Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

A: It is an important part of statistics. It is widely used.

Q: Show that a counterclockwise rotation in R^2 through an angle α is described by the matrix Rα =…

A: A rotational matrix, also known as a rotation matrix, is a special type of square matrix used to…

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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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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