Why can't a I by-3 system have x₂ = (2, 4, 0) and xn = any multiple of (1, 1, 1)?

Q: Which statement about the linear equation 3a + 1/3 * (6a - 9) = 1/2 * (10a - 6) is true?

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

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: 2) In the Gauss plane, the set {2€ C:lz-1 +11 >√2, Rez-Im3 <0} a) is a half-plane b) contains one…

A: Let We will  verify  each option one by7 one.For option(d):  observe that   and Thus, and option(d)…

Q: If (x² - 1, 4) = (0, y- 1), what is the value of x and y?

A: The value of x is -1 and 1 and the value of y is 5.

Q: 2x1 + x2 + x3 = 6 3x1 + 2x2 − 2x3 = −2 x1 + x2 + 2x3 = −4

A: The given system of linear equations are: 2x1+x2+x3=63x1+2x2− 2x3=−2x1+x2+2x3=−4 To solve for x3

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: G(y) А + Be 10

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Q: 2. Page 922 #4 a. Solve by hand using Gaussian elimination with matrices. Show all the matrix…

A: Use Guass Elimination to solve given system of linear equations.

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: hat is the dependent variable in y= -

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Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: 2. (3x+5)+(2x – 3)

A:

Q: max-2x1-x²-x3 s.t 1 + 2x2 + x3 = 1 4x1+3x2+2x3 1, 2, 3 > 0 = 2

A: We have to find the maximum value of fx1, x2, x3=-2x12-x22-x32.Subject tox1+2x2+x3=14x1+4x2+2x3=2x1,…

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: Max Z = 3x1 +5xz+ 4x3 2x1 +3x2 + 0x3s8 3x1 +2x2 + 4x33s 15 Ox11 + 2xz + 5x3 10 X1, X2.x3 all 2 0.

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Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: Find x, y, z, and w. X = y = Z= W = x 7 (2x y 6 - 5) (2x = ¹) ] - [ (²x - ² 9y Z 9 By + 8) ] 8 (w +…

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Q: Find the value of x3 + y3 + z3 - 3xyz if  x2 + y2 + z2 = 83 x + y + z = 15

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Q: Why can't a 1 by 3 system have Xp = (2, 4, 0) and Xn = any multiple of (1, 1, 1)?

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Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: What is x and y? (3x + 2y, 4) = ( 6, 2x + 3y)

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Q: Ifx +2y+32 = x2 + 2y2 + 3z2 = x² + 2y3 + 3z3 = 2, and xx +2y2y3 +3z₂Z3 = x3x₁ +2y3v₁ +3Z3Z1 = x₁x₂ +…

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Q: Find the midpoint between (8, 17) and (24, 31)

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Q: (5х + 1)х + 3)2 y = (x4 + 6)(x + S)

A: Given data:     The given expression is:. The expression for the given function can be written as,…

Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: 2Yp 2XP+Y=c

A:

Q: The graph of a system of equations is shown Select the x-values for the solutions to this systems? A…

A: Given that the graphs of the system of equation. we have to find the x-values for the solutions to…