Let T : R? → R? be a linear transformation that sends ēj to x1 and e, to x2. If T maps (-9, -2) to the vector then 3 = (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

Q: 3. A certain Businessman invested in a small business with an initial capital (P). He had his first…

A: The expression of the total accumulated sum is given by, TS=PI1⋅I2I1+I2+I3

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

A:

Q: Find the value of |(-1)*+1 – (-1)*+2|. A. -2 B. (-1)" C. 2 D. I(-1)"| E. None of the above.

A:

Q: xả 5x = 24 x²5x24 = 0 a = 1 b = -5 c = -24 -5+ √(-5)² - 4(1)(-24) 2(1) -5 + √25 +96 2 −5+√121 2…

A: Solution is given below:

Q: Find the matrix A of the linear transformation T R →R? defined by T (a, b, c) = (a +c, a+ b, c)…

A:

Q: If yo is the particular solution of dy 4x y, y(0) = 3, dx find the value of yo(2).

A:

Q: -3 -3 4 -9 ol 0 1 21 -2 3 1 D = 6 9 - A =| 3 |-2 -2 110 3 [3 0 0 F = 0 6 0 lo o -4 5 5 2 -1 E = -4…

A:

Q: Let fx) = 2897x +5105x+ 5607 estimate the number of deaths from a certain disease from 1984, where x…

A: The function f(x)=2897x2+5105x+5607 estimate the number of deaths from a certain disease. We have to…

Q: If x = (1/2)a + (2/3)b + (3/4)c c=(12x-6a-

A: The detailed solution is given below Thank you

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

A:

Q: Given w= (-3, 11), s=(-4, – 5), and r= s= (-4, - 5), and r= (4, 9), find 3r- (w+s). 3r-(w+s) = (|

A:

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: I (n Ps)= 48 3 (nC4)

A: Solution

Q: Then where a11 where C11 = a12 = C12 = a21 = C21 = a22 C22= A 1 = (§ 8), B= ( − 4 ³ ) ,0 = (1 ²).…

A:

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

A:

Q: B/Determine: s²+95+2 1.2-[ (5+3)(8-1)2 2.2-1 [ 词 8+1 ((x-1)82)

A: We have to find the inverse Laplace transform. 1. L-1s2+9s+2s+3s-12 2. L-1s+1s-1s2

Q: Then where a11 = where C11 = , a12 = , C12 = 5 = ( ² $). B A = a21 = , C21 = , B = A + BT = ,a22 =…

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: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

A:

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: 1. If A = B = 2 - find (a) A +B, (b) A - B, (e) 2A – 3C, (d) 3A + 28 - 4C, () AB, S BA, (9) (AB)C,…

A: Note: Please repost remaining subparts as i can answer 3 subparts as per my policy.

Q: Let X = {0, p, q, r, s} and consider the topology on X below: T = {X,0, {o}, {q,r}, {o,q, r}, {p, q,…

A:

Q: What is L! if 2 1 +. s s-4] 4r A. -2t +e В. -t+ 2e¬7! 3t +e" D. -2t+e" C. 47 3r E. 4t - 2e"

A:

Q: * Q1 X1 +x2] 3 X1 4 X2 If 3 [x3 X4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. 2. x1 = 2, x2…

A: We will perform the addition and scalar multiplication of matrices on both the sides. Then we will…

Q: For RA 3 and gx)x. find each of the following d. •ax-1)-(mplity your anawer) -ko)-Simplity your…

A: For function h(x)=ax2+bx+c    where a,b,c are constants. To evaluate h(k), replace x=k in function…

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: Which of the following represents 28=7times 4

A: Which of the following represents 28=7times 4

Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: Find x if we are given that * = -101

A:

Q: 4 (-1)*- k² k=2 3k II

A: Simplify the product as follows. ∏k=24-1k×k23k3=-12×22323-13×32333-14×42343

Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

Q: 9. 12 (7x + 5) TW

A:

Q: Is A = [ -5   5   1 ]            [ 0   1   -1 ]            [ 1   -1   0 ] the A-1 = ?

A:

Q: 3.6...(3n) E=1(-1)" n=1 2n2.5...(3n-1)

A: