In Exercises 47-50, write v as a linear combination of u, u,, and u, if possible. 47. u, = (2, 3, 5), u = (1, 2, 4), uz = (-2, 2, 3), v (10, 1, 4) %3D

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

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Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Just g,h,i please

A: The pdf of X is obtained as follows:

Q: Due to heavy rainfall and waterlogging, only a few vehicles are seen on the road. Check the…

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Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

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Q: hat is the dependent variable in y= -

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

A: This question is related to linearity of vectors, we will solve it using given information.

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

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Q: Find u v, 2(u + 3v), and 2v- u. - u = (6, -5, 8, 3), (a) u-v= (b) 2(u +3v) = (c) 2v - u = v = (-2, 5…

A: The solution is shown below-

Q: Find the perimeter of a rectangle EFGH with coordinates E(-3,-2), F(-8,-2), G(-8,9), and H(-3,9)

A: To find: The perimeter of rectangle EFGH. Given: The points are E-3,-2, F-8,-2, G-8,9 and H-3,9.…

Q: (6,8),(7,7),(9,8),(12,11) find the value of r and round to four decimal places.

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Q:

A: A vector space V together with an inner product is called an inner product space. For example: V=ℝn…

Q: Find u x v, v x u, and v x v.

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Q: Z X W y 52° 41°

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Q: G (5,8) H (4,-5) J (17,-6)

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Q: Solve 2y-y² sec²(xy²) + (2x−2xysec² (xy²)) y'= 0; y(1) = 2

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Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Find u•v, V•V, ||u||^2, (u•v)v, and u. (5v). u=(2,0,-3,4), v=(0,5,4,5)

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Q: Find u v, u u, v, (u v)v, and u (3v). u -(5, -2, 4). v-(0, 6, 4) (a) (b) () (d) (u-v)v (e) u (3v)

A: Solution: The objective is to find the required values

Q: [ 2, l , 2 ] · ( 3 , - 1 , 0 )

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Q: (a) What base 10 number is equivalent to 10100012? (b) What base 2 number is equivalent to 96110?

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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.