If the set {(1,2, 1), (0, 1, 1), (1,-2, A)} is linearly independent, then (A)入¥3 (B) A# -3 (C) A =-3 (D) A = 3 (E) 入チ-4

Q: Draw vector 1/2CD - 2FE

A:

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: Shade (A U B) ∩ (C-A)'

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Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: What is the intersection of the following lines: [ (5/2), (2), (0)]t+ s[ (2), (3/4), (-8)]t  and […

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Q: 1) 2) 3) -3-2-18 O 2

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: HIN prove that Jy and J-1/₂ are linearly independent.

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Q: (3) Construct a linear spline interpolating (-1, 0), (0, 1), (1, 3).

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Q: T-3 A =| 3 01 -3 4 -9 ol 1. B = l-2 3 1 C =|-2 -2 D = 6 ) 7 10 3 [3 0 F = 0 6 Lo o -3. -4 5 2 20 2…

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Q: If = C,e=x + C2xe-* + C3x?e¯* + C4e* , then the roots are -1, -1, -1, -1 -1, -1, -1, 1

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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: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

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Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

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Q: Compute 12] 1 −1 -4

A: 1-1-45.301-2=1.3+(-1)(1)1.0+(-1)(-2)(-4)(3)+(5)(1)(-4)0+(5)(-2)=22-7-10 NOTE: PRODUCT OF 2 MATRICES…

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =<4,-3> and v =<-2,7>

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: Compute: (1, 2, 3) ·(-2, 1, 0)

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Q: What would be the linear equations for the functions, & what would be the graphs?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1 Give the second component of the projection of 2 -1 -1 2 onto Nul 3 2-2 2 4 -1,

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Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

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Q: x – y = 1 - 2y -:= -1 18 - 3x + 2: = 3 Yukarıdaki sistemin katsayılar matrisi açağıdaktilerden…

A: To find the coefficient matrix of the given system: x-y+0z=10x-2y-z=-13x+0y+2z=3

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.