ich of the In(R), test A for diagonalisabi ty. If A is diagonalisable, find an invertible matrix Q and a diagonal natrix D such that D = Q-'AQ. [Take care: the field is R, not C.] lowing (1 2 a) "b) 3 1 (7 -4 0) c) 8 -5 0 6 -6 3 (0 0 1)

Q: Answer with all the required steps

A:

Q: a) Show that f(z)=1/z is an analytic function.

A:

Q: Find  f(x) · g(x) = (fg)(x).  Simplify. f(x) = x2 + 2   g(x) = x2 − x + 5 (fg)(x)

A: Given: fx=x2+2gx=x2-x+5  

Q: 1. Solve (D + D3)z = 0 2. Solve (D- 2D„D, + 5D;)z = 0 %3D

A: Solution:   

Q: Find the time domain function for the following Laplace transforms: s+4 7 a) F(s) : b) F(s) : s(s + ...

A: Answer 

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A: Given equation is iz2+18i=40 Here, z is complex number , substitute z=x+iy i(x+iy)2=40-18ii(x2-y2+2x...

Q: Only Question 4

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Q: Find T, N, and k for the space curve, where t>0. r(t) = (4 cos t+ 4t sin t)i + (4 sin t- 4t cos t)j ...

A: Answer 

Q: 3x 15)- x+4 12 2- x+4 3 4 16) x-3 x-2 x-3' 17)s[x-(4x - 5)]=3-2x, 18)6[3y- 2(y-1)]-2+7y 0, 19)[2+(y+...

A: Find the attachment

Q: Cietni let ane let G4)= ti t2+34)j +4K HIC4) = 2,4し + 34j+(-144)1k fnd の) H4)XG(H) b) G4). HG4)

A: Given: Gt=ti+2+3tj+4kHt=2ti+3tj+-1+2tk

Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2 Dif...

Q: 3. ソ=fx)=x

A:

Q: Q3/ Find the shared area between the circle r = (2N sin 0) and the curve r = N + sine. N=2*

A: The given curves are r=(2Nsinθ)  and r=N+sinθ Here, N=2 So, we have  r=(2×2sinθ)  and r=2+sinθr=4sin...

Q: teknik servis Cet (X,R) be a topologicial space. Property C= P.C ; A subset A of X has P.C if it's s...

A:

Q: Tanhz =

A:

Q: Let V = R2, defined the addition by: %3D (u1 tu2)+ (V1 + v2)=( U1 +v1 , Uz +v2 + 1) With standard sc...

A: Given : Let V=ℝ2 Defined the addition by : u1, u2+v1, v2=u1+v1, u2+v2+1 Defined the multiplication :...

Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that reac...

A:

Q: for each matrix, determine if the columns form a linearly independent set. explain please

A: (a) The given matrix is 105017 Let S be the set of columns vector then we have  S=(1,0), (0,1), (5,7...

Q: 6.1.4 Let A = [1,3], B = [2,4] and C = [2,3]. Prove or disprove that %3D (Ах B)n (В x A) 3 Сх С.

A:

Q: Please solve a question quickly I need this Answer at half time Quickly. Please

A: Given that G and H be any sets. Also, PG⊆PH The objective is to prove that G⊆H  

Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 58, n(A) = 23, n(B) = 21, n(C) = 2...

A:

Q: Is the following statement correct: (-1)" z" Since the power series E by-term differentiated power s...

A: We know that if a power series ∑anxn is convergent and has radius of convergence R then the power se...

Q: P, find the power gain P, (a) n = 10log when n = 25 decibels. log16-log8 3 log4 (b) Evaluate the exp...

A:

Q: Find the arc length of the following curve. r(t) = 2t + 4 for 1sts3 The arc length is (Simplify your...

A: Given,r(t)=t2 , 423t32 , 2t+4for 1,3

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero. 

Q: Let V = R², defined the addition by: (U1 7 Uz) + (V1 7 vz)= ( U1 +V1 , Uz +Vz + 1) With standard sca...

A:

Q: In circle P with MZNPQ = 42 and NP = 19 units find area of sector NPQ. Round %3D to the nearest hund...

A:

Q: Given an acceleration vector, initial velocity (uo.vo), and initial position (xo.Yo). find the veloc...

A: v(t)=∫at dt =∫1,4 dt=t,4t+Cwhere C is the constant vector ie, C=2,5 which is obtained from the initi...

Q: Please don't skip steps. Write them clearly and well defined.

A: Given:-            x' = 342525423Deviation matrix = 342525423- 11111111134252542313342525423- 111111...

Q: Find the tangent and normal to the curve a2y=3x at (a,a)

A: Equation of tangent to the curve at x0,y0.                y-y0=m(x-x0) Equation of normal to the c...

Q: Always, sometimes, or never does there exist a number k where the equation 7x2 - 6xz - 2y2 - z2 = k ...

A: Equation of hyperboloid of one sheet is: x2A2+y2B2-z2C2=1

Q: Problem 1. Suppose that a fish population is modeled by the following Leslie matrix 9 12) 1/3 0 0 1/...

A: |A-λI|=0  (-λ)   9   12    0.33  (-λ)   0    0   0.5   (-λ)    =0 ∴(-λ)((-λ)×(-λ)-0×0.5)-9(0.33×(-λ)...

Q: Find the equation of the circle which passes through (10:2), (9.-3) and the centre of the circle lie...

A: given passing points 10,2 , 9,-3 , centre of the circle lie on the y-axis claim- to find equation of...

Q: 6h 2-lim0 tan4h

A: Given that  the limit is  To evaluate the limit 

Q: A) Forward Euler is _________. Conditionally Stable Unconditionally Unstable Unconditionally Stable...

A:

Q: 6.2.6 (a) Prove that P(A) UP(B) C P(AU B). Provide a counter-example to show that we do not expect e...

A: Answer 

Q: Solve the diffeventialequatio n : %3D

A: We have the differential equation y'=4yx . We need to solve this differential equation and find out ...

Q: IFind the inverse coe fficient matrix to Solve the 2ystem. A'= X-44t22=5 3xt-54t22=| -4xt4=2=3

A: Here the equations are given and the Matrix Equation A X = B is given as: x−4y+2z=5−3x−5y+2z=11−4x+y...

Q: Example 4: Solve iii) y" + y = 2sinx + 3cosx.

A:

Q: 1. (i) Find all four square roots of 61 in Z247. (ii) Show that r³7 = x for all r E Z217- (iii) In t...

A: 1. (i) Consider the given information. Let, x be the root of 61. Then the congruence relation is def...

Q: Let z E C. Prove that if 1+z+...+z"-1 – nz" = 0, then |z| < 1.

A: Given 1+z+.......+zn−1−nzn=0 We have to prove that z≤1 Since, 1+z+.......+zn−1 is in geometric serie...

Q: In golf, someone who completes a course in fewer strokes beats someone who completes it with more st...

A: Given that Ayumi averages 1.5 times par strokes par game, so her strokes on 'p' par would be 1.5p. S...

Q: Find  (f · g)(x).  Simplify the result. f(x)  =  x + 4 g(x)  =  7x − 3 (f · g)(x) =

A: As we know that the composition of two functions f(x) &amp; g(x) are defined as, (f∘g)x=f(g(x)) Now ...

Q: Q.2/ Find the equation of fourier series for the following function: if -1<t<0 if 0<t<1 1-t

A:

Q: Q6

A: See the attachment

Q: Q14

A: According to newtons law of cooling dHdt=kH-H0 use separation of variables and integrate ∫dHH-H0=∫kd...

Q: Find all 3 x 3 diagonal matrices A that satisfy A2 - 4A + 31 = 0. [1 0 0][3 0 0][o 0 0 01 0 0 0 1 0 ...

A: Given equation is A2-4A+3I=0 Minimal polynomial divides every polynomial which annihiliates A. mA(x)...

Q: dy 2×ゴー4コ %3D ブメ

A: Since you have posted multiple questions we will solve only first one for you. If you want a particu...

Q: fundemental matrix with repeated eigenvalues.

A: Given: A=210020012

Q: y -3'y +zy=A Ĉ griven that g6) = - 3 /'Y(6) = 5

A: Question 1: To solve the given differential equation using Laplace transformation: y''−3y'+2y=4e2t w...

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.