Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

A:

Q: 3m2 - 4mn + 5n?, 4m2+ 3mn +n², 2m² + 6mn + 2n2 9m2 + 5mn + 8n2

A: Adding the given expressions,…

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

A: Now,

Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

A:

Q: serves conv 1, then its a

A: Concept:

Q: 54, find r such that the m 5a. A -[ 3 -3 -2

A: A matrix 'A' is equal to its own inverse when  A2=I where I is the identity matrix.

Q: Find AB and BA of the Attached?

A:

Q: If e5z 26, then x =

A:

Q: Find projvu if scalvu = -2 and v = ⟨2, -1, -2⟩.

A: Consider the given vector.u=-2 and v=<2,-1,-2>.The projection is defined as,Projection of…

Q: Let Ax6 and B then the size of AB = 6x4

A: We have to find the size of AB (if exist)  if A4×6 and B6×4 .

Q: Σ ( Use if Σα, = Land Σ ,-K.then Σ ( a-+ ) =Σ α+Σ,- L+K) 5" 7" %3D n=0

A:

Q: ve that if x5 – 3x4 + 2x

A: Introduction: In an equation, the two expressions are assumed to be equal, as indicated by the…

Q: an + 8an- + 16an-2 = 0 + 16Q, where, a,= -2 and a,= 1 - What is the Yalve of a6 ?

A: the given relation is an+8an-1+16an-2=0 rewrite the relation as an=-8an-1-16an-2 substitute n=2…

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: Find a · b if a = (-2, –4, –4) and b = (-3, 4, 3)

A: Given,             a=<-2,-4,-4> and b=<-3,4,3>To find : a·bWe know that,            The…

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

A:

Q: 2 is > 2 of x, the

A:

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

A:

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

A: Now,

Q: If e5z 24, then x =

A:

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

A:

Q: Find AB when A(-4,-1) and B (-2,11)

A: Given the coordinates of A is (-4,-1) and B is (-2,11) We need to find out AB

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

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

Q: A dining hall had a total of 25 tables, some long rectangular tables and some round ones.  Long…

A: x = 20 y = 5

Q: If 2 2 5 A- and B-1 3 3 -2 find (AB)-!.

A: Consider the given matrix as A-1=3213 and B-1=253-2

Q: Find Cov(2X,2Y)

A: Here, x y P(x,y) xy.P(x,y) 1 3 0.14 0.42 1 4 0.13 0.52 1 5 0.24 1.2 1 6 0.17 1.02 2 3…

Q: et) of a ball thrown by a child is 1 -x² + 6x + 3 14 -

A:

Q: 3 Gan that 212y = 2-2y finel 2y 5.

A: According to our guidelines we can answer only first question and rest can be reposted. I did not…

Q: Show that: х-1 - B(x-1,y+1)= B(x, y)

A:

Q: Find (a) 2/ 3u, (b) 3v, (c) v − u, and (d) 2u + 5v. u = ⟨−3, −8⟩, v = ⟨8, 7⟩

A: Given vectors are u=-3,-8,v=8,7. a23u=23-3,-8=-2,-83

Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

A:

Q: 2x + y = 23 and x + 2y = 17, then 3x - 3y = ?

A:

Q: 2. Find A if (A-1-21)² = -2 = -21]

A: Basic properties of matrix are used

Q: If X-Bin (100,0.2), then

A: GivenX~Binomial(100,0.2)

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: Find and if ry + yz³ + zr³ = 7.

A:

Q: Show that |Aut(Z2 × Z2)| = 6

A:

Q: 2. Find AB when A(-4, -1) and B(-2, 11).

A: The solution for the above question is as shown below.

Q: find two addi n<0<2n. 4,- |

A: In this question, the concept of the Polar Coordinate System is applied. Polar Coordinate System A…

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: 3) iFmiRGP=4x+26, thens

A:

Q: If z^5=1-2i

A:

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: Find å · B for å = (–2,÷) and 5 = (-5,12).

A: Here , we have to do dot product to this vector.

Q: If 2sin-1x = n, what is x?

A: