Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of ui, 02, 03. (b) Write w as a linear combination of 72, 03, 74.

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О…

A: We have to multiply the given three complex numbers.

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Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: Determine whether y → ** or y → -* as x- * and x- *. y= -7x2 + 7x3 + 6x - 4 O y- * as x- .*; y - .…

A: Given function : y=-7x2+7x3+6x-4 To determine the limit of y we need to substitute the limit of x…

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: -3t 712e Sinzt 37-47=

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Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

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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: Q1. Use the summation convention and free subscripts to indicate the following linear system Yı =…

A: We will use the notion of summation and the varying subscripts to reduce the system of equations…

Q: var(û), if û = X1 + a jg X (n-1) + (X2 ++X(n-2) + 3 6X(m-1) + 증 .. 2(n-3) 4. 29n 256(п-3) 29…

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Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

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Q: Write the dual of the LPP Max z = 4x1 - x2 + 2x3 Subject to x1 +x2 < 5 2x1 + x2 < 7 2x2 + x3 2 6 xi…

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Q: Evaluate using u-subsitutiton?

A: u-substitution means substitute  1-8t=u2. Then solve it.

Q: ZA is complementary to ZB and ZB is 8. Suppose

A: If two angles are complementary then they makes to 90°. If two angles are supplementary then they…

Q: Choose. + -Зл -2n -T 27 Зл Choose. Choose. Choose.

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Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

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Q: - Select all that apply. A 3 (16a - 72a² + 81) B 3 (4x - 9)* C 3 (4a+ 9) (4x – 9) - D 3 (2x-3) (2x…

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Q: Use the substitution method to evaluate V1-22dx

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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: Evaluate the expressions for when x=-1, y=3, z=-2 z²+(x²)-y and x²(y²)(z²)

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Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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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: v at a = -11 since,

A: We have to choose the correct option according to the given condition

Q: HW: Expand (4+ y 2- (a-5) 1-

A: I have used binomial expansion

Q: Find a when d= -2 and az = - 1.

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Q: Given that y= (2e - 6x +5) , show that y-

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Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Given ,  A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined…

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: For z = -V3 - j3, evaluate

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Q: Find the linearzation to appraximate (1.999)^3

A: We have to find the value

Q: Q1. Use the summation convention and free subscripts to indicate the following linear system y1 =…

A: I am providing the solution of question number 1 as we are supposed to answer only the first…

Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

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

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Q: with

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Q: If f1x2 = 2x3 + Ax2 + 4x - 5 and f122 = 5, what is thevalue of A?

A: The given function is: f(x)=2x3+Ax2+4x-5

Q: Show that |Aut(Z2 × Z2)| = 6

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Q: 5lim V3+x-J3 8→0

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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: Evaluate 8u2v3 when u=1/2 and v=3/4.

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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: Find ATA and AAT. 2 A = 1 4 0 -1 2 (a) ATA 2 2 2

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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.