3. Find the value(s) of h such that b is a linear combination of and a3. -()-) -() --() ај, а2, 5 aj = a2 = az = b =

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

A:

Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

A:

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: Shade (A U B) ∩ (C-A)'

A:

Q: a) Find ū - i b) Find w.u 1/2

A:

Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

A:

Q: Select the expressions that are equivalent to 7(q+5)

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Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

A:

Q: 7. f(2) = -3, g(2) = 2, f2) = 4, g(2) = -5 a) If h = 0, use the values above to find h) 9(x)

A: 7. f2=-3, g2=2, f'2=4, g'2=-5

Q: Find the inverse of 13 in Z135.

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

A:

Q: At which of these times (A, B, C, D, E) was runner 1 stopped and runner 2 running? (Select all that…

A: From the graph it can be observed that, At time A the runner 1 had stopped and runner 2 was running,…

Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

A:

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

A:

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

A:

Q: = Suppose (3, −1, −2), = (-1, 1, −4) and w = . 9. 9. v.w= 9. v. v= ū⋅ (v+w)= . 9. (5, 1, 1). Then:

A: For any query with the solution, please ask in the comment box.

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: Suppose a, = (1 -1 1 1) 5. a, = (1 0 1 0)" a, = (1 1 1 1)'a, = (3 2 3 0)" · Please find out whether…

A:

Q: 10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b…

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Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

A:

Q: Express in the terms of i

A: Given,

Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

A:

Q: Let 1 -1 8 -3 -5 2 -1 , and B = 1 %3D %3D -2 1 4 -7 Compute A-1, (BT)-1 and B-1A-1. What do you…

A: A=1-1102-1-213, B=8-3-50124-76 Expanding the determinant of A, B along column first…

Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: Find |A|, [B], A + B, and JA + BỊ. Then verify that |A| + |B| = |A + BỊ. 1 7 A = 1 -1 0 0 1 -1 B = 7…

A: We can solve this as follows:

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.

Q: Let u=(2,6,-7), v=(-1,-1,8), and 3. If (2, 14, 11)=ku+lv what is the value of l?

A: i AM GOING TO SOLVE THE GIVEN PROBLEM BY USING SOME SIMPLE ALGEBRA TO GET THE REQIURED RESULT.

Q: Let m. - 6 ) m- - (C ) m - (G 9)-m- - (; ). (G :). m2 = m3 = etermine if (m1, m2, m3, m4) is…

A:

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.