1. Find gcd(a, b), and express it as a linear combination of a and b ((a, b) = sa + tb). (1). а 3D 775, b — 682. (2). a = 562, b = 243. (3). а — 191, b — 156.

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

A:

Q: 2. If A = 1 + 3) - 2k and B = 41-2j + 4k find, (a) A dot B (b) Magnitude of A (c) Magnitude of B

A: Since you have asked multiple questions with multiple parts in a single request, we would be…

Q: 5. Determine the combination V x (Vf) given that X" + y"

A:

Q: Verify that (AB)T = BTAT.

A:

Q: Give an example of C = diag(c1, C2, C3) and D = diag(dı, d2, d3) where Tr(C) det(D), but C is not…

A:

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

A:

Q: Solve for u. u/2 + 3u/4 = u/8

A:

Q: (D² + 4)y = 0

A:

Q: (а? + 12гу) da — (Ал? + 8у) dy — 0

A:

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

A:

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Find the (2x + 1)³ dx A. (2x + 1)2 +c (2x + 1)3 + c 8 С. (2x + 1)4 + c D. (2x + 1)* + c 4 B.

A: We have to find the indefinite integral of given function

Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

A:

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

A:

Q: 26. A = 2î + 25 27. B = -2î + 2ĵ 28. Č = 3î + j y 24 24 1. -3 -2 -1 32 -1 -1 -3 -2 -1 3. 2. -1 -1 -2…

A:

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

A:

Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: Solve for w where u = (1, -1, 1, 0) and v (2, 0, –1, 3). 3w = u - 2v w =

A:

Q: 1 5 ]v s or fractions.) W = - 3 0

A:

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

A:

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: Express the following as a linear combination of u (2, 1, 5), v (1,-1, 4) and w = (6, 8, 6). (9, 14,…

A:

Q: If W = 2x 2 + 3xy2 - 20y-2+ 6u; where x = 5u2 +4v 2 and y= u - 4v3 , find §W / §V.

A:

Q: Given that v = (2,3, 4), vị = (1,0,1), v2 = (0,-1, 1), vz = (-1,-1,1). Express v as a linear…

A: Given, v=2,3,4, v1=1,0,1, v2=0,-1,1, v3=-1,-1,1

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

A:

Q: Find the foci for (x-6)² 9 + (y-7)² 25 - (a) F₁ = (6, 11) and F₂ = (6,3) (c) F₁ = (-6, 11) and F₂ =…

A: Find the foci for (x-6)29+(y-7)225=1