In Exercises 1 and 2, let A = PDP¯' and compute Aª. 1. P - [; {],0=[; 5 Р %3D 2 3 1 2 2. Р %3D -3 -3 1

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

A:

Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: J1, 1), К(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 3)

A: Below Image has the graph with points plotted on Coordinate Axes.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

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Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: 3t Find the general solution of the differential equation: y+ 5y= te Use lower case c for the…

A: Given: y'+5y=te-3t To find: The general solution of the given differential equation.

Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

A:

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Use Cramer's Rule to find values for x and y that satisfy the following system. 5x - 3y = -32 y = 4…

A: The given system is, 5x-3y=-32y=4 To Find: Solution of the system using Cramer's rule.

Q: 4 -7 -3 -2 8. Let A = [^, and 8 = [ -21. Compute A-1B. -1 2 1

A: first we compute A^-1 by using formula

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

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Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

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Q: U is the set of TV owners and W is the set of people who watch The Walking Dead, describe W' in…

A:

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: how did the y' and 2y' apearred out of no where in line 7

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Q: 10 8- A 6- 2 -10-86 246 8 10 B -8 MathBits.com -10

A:

Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

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Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: 8. Refer to Example 50.9 for Exercise 8. Exercise 8: What is the order of G(Q(VZ, iv3)/Q)?

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Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: How to find P value from z and how to make decision about reject or not Ho.

A: Test statistic- A hypothesis test is characteristically specified by a test statistic, considered as…

Q: To say that two variables are confounded means that? Only one answer A) they both vary at the same…

A: Confounding variable: Confounding variable is a third variable that has impact on both dependent and…

Q: The following system has an infinite number of solutions. Form an augmented matrix, then write the…

A: