Q-1- Answer each of the following as True or False a) If 4-2 +2 - b) If v₁ = (1,2), v₂ = (3,4), V3 = (−1,0), then u = V₁, V2, and v3 where u = 2v₁ – 2 V₂ — V3. c) If A² th _], then x = 3, y = 2, and z = 1. justifying your answers = A, Then I - 2A = (I — 2A)¯¹. (6,8) is a linear combination of

Q: Compute (-1AT + 2B) C, where A = (-14T +2B) C = 9 7 4 -3 7 -5 " B = -5 9 -4 6 7 3 and C= 6 3 () -3 7…

A: To find (-1AT+2B)C

Q: 7. (13x - 21) (5x + 75) m

A: 7. Given figure is: To find the value of x.

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: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

A:

Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

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 ·…

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: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

A:

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: Va +3b + Va – 3b If x=- Va+36 – Va– 3b prove that 3bx² – 2ax +3b = 0 | - -

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: Find the midpoint of AB if A(-3, 8) and B(-7,-6). O (-5, 1) O (1,-5) O (1,5) O (-5, 2) Previous Next

A:

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

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>