Determine whether b can be written as linear combination of a1 and a2

Q: Find JA|, |B|, AB, and |AB|. 1 4 2 -3 0 A = -2 -4 1 B = 1 -1 3 3 1 2 11 (a) JA| (b) |B| (с) АВ (d)…

A: Find the determinant

Q: X3 + 5x, = -4 Xj + 4x, +3x, = -2 2x, + 7.x, + x, = -1

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Q: 4. given that 2px (a) 5px, (b) 2Px+3, (c) 29x, (d) 2/39x (e) 3/29x, 0.955, Px+2 = 0.96, and 39x+2 =…

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Q: Which of the systems has a unique solution?

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Q: -a2+7b4-2c3 a=-4 b=-2 c=-3

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Q: If possible, write -11 - 6z + 5z? as a linear combination of -2 - z+ z?,2 - z? and 5 +z- 2r?.…

A: We have to show whether -11-6x+5x2 can be written as a linear combination of  -2-x+x2,  2-x2  and…

Q: serves conv 1, then its a

A: Concept:

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: 3,- 15," + 25x_13x° 24x X - 3

A: Given:=3x5-15x4+25x3-13x2-24xx-3Divison rule:qx+rxdx

Q: Use an inverse matrix to solve system of linear equations.

A: Find the inverse of the matrix. Augment the matrix A with the identity matrix I and evaluate the…

Q: -2 + t,3 + 2t) and Qu (4 +

A: Solution: The objective is to what does the given lines have common.

Q: Let Ax6 and B then the size of AB = 6x4

A: We have to find the size of AB (if exist)  if A4×6 and B6×4 .

Q: Find a+b, 2a + 3b, lal, and ja - bl. a- (3, -4), b- (-5, 2) a +b 2a + 3b ja - b|

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: Find a · b if a = (-2, –4, –4) and b = (-3, 4, 3)

A: Given,             a=<-2,-4,-4> and b=<-3,4,3>To find : a·bWe know that,            The…

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

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Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: Find a + b, 2a + 3b, |a|, and |a – b|. - а 3 (4, - 3), ь - (-4, 3) a + b = 2а + 3b %3

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Q: Explain an example of linear combination.

A: Linear Combination: In mathematics, a linear combination is an expression formed from a set of terms…

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: Find x and y if (x-y, x+y) (6, 10)

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Q: -7a²b³c -4 3a³b*c3

A: We will solve the  question in the following step.

Q: Let A = 1 3 (), 0 2 B = -1 1 4), 0 = (3) C -2

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Q: Determine if the third column can be written as a linear combination of the first two columns. 1 2 2…

A: According to question,Given matrix,Let A = 122-468598

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

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Q: Let æ² + 32 + 22 = ? 3ayz, then which of the following is 3yz-20 2x-30y a. 3oy-2y 2x-3oy Ob. 2y-3oy…

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Q: Find AB, -2 -1 -4 A=3 -1 B= %3D %3D 2 7 6 3 6 4-8

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Q: (a²-3ab+2b²)+(-4a²+5ab-b²)

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Q: Let an+2 = 4an+1+-2an. If ao =2 and a1 =3, what is the value of a4?

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Q: The expressions 3x2 + 5 and -xy are examples of expressions that are not linear expressions. 1.…

A: The given functions are  (3x2 +5) And -12xy

Q: Find (a) 2/ 3u, (b) 3v, (c) v − u, and (d) 2u + 5v. u = ⟨−3, −8⟩, v = ⟨8, 7⟩

A: Given vectors are u=-3,-8,v=8,7. a23u=23-3,-8=-2,-83

Q: Which of the following is equivalent to 4a2 - 25b6 ? (2a - 56) (2a + 56*) (2a - 56°) (2a + 56) (2a -…

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Q: Determine the nullity of 3 A = -2 1 -2 4

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Q: show that when |z3| # |z4l, Izı|+ Iz2| I|z3| – Iz4|| Re(z1 + z2) Iz3 + z4| VI

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: What is the mode of 1,1,1,1,2,2,2,3,3, and 4 ?a. 1b. 2c. 3d. 4

A: Given data  1,1,1,1,2,2,2,3,3, 4 The mode of a set  of data is the value in the set that occurs most…

Q: Specify a linear combination in terms of coefficients?

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Q: 7) -7x-8y=-23 4x +4y 12

A: Simplyfy second equation y  in terms of  x and then put it into first equation then get the final…

Q: -16 -6v=-2(8v-7)

A: -16-6v=-28v-7-16-6v=-16v+1416v-6v=14+1610v=30v=3010v=3

Q: Determine whether (-2, 3, -8) can be written as a linear combination of u(1, 1, 1) and v(1, 2, 5).

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Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 3 - j2 , what is the simplified form of %3D (금) Z1 - Z3 16…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: If (x+2y) = -4 and (3x) = 6, then

A: Given, (x+2y) = —4 and 3x = 6 We want to find the Value of (x²+2xy)

Q: 2(x*y*)* 8,,9 2x®y9 16x®y ,9 16х16у20 2x16у20

A: This question is related to algebraic equation.

Q: write linear Combination as 4 V.,Vz, V3 where (1,5,4),V.=(1,3,-2),Vz=(2,7,-1), Va= (1,6,7) V=

A: Given V=(1,5,4), V1=(1,3,-2), V2=(2,7,-1) and V3=(1,6,7)

Q: -10v = -10 - 3(6v + 10)

A: Given: -10v=-10-3(6v+10) The value of v can be calculated as,            -10v=-10-18v-30-10v+18v=-40…

Q: Find A-B, if: 1 2 3 -2 2 1 B : 2 A 1 3 - 1

A: Given: A=123-101, B=1-2223-1 To find: A-B Solution: We can subtract two matrices if they same order.…

Q: Find the difference between BC and CA where A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4).

A: Given A=(1,2,3) B=(3,-1,4) C=(-2,3,-4)

Q: Determine whether 2 4 are linearly independent.

A: The vectors are independent if a120+b11-1+c142=000 which implies a=0,b=0,c=0…

Q: Determine if the third column can be written as a linear combination of the first two columns.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.