Conversely, suppose y belongs to Col Q. Then y = Qx for some x. Since R is invertible, what does the equation A = QR imply? O A. Q= AR 1 O B. A=Q. OC. Ais invertible. O D. Q=R¯'A So y = which shows that y is in Col A. AQx = A(Qx) R-Ax = (R-A)x AR 'x= A(R 'x) Click to AR ´x= (AR¯1)x

Q: y(6) – 4y®) +6y® - 4y'+y =7

A: Answer

Q: 15. z+i · (z − 1 − i)³(z − i) JR-1 dz

A:

Q: Which of the following functions do not form a set of fundamental solutions of y" - 4y = 0 Select…

A: We have to convert them into general characteristics equation, (D2-4)y=0 Where D = ddt and D2 is…

Q: 4. By using Cramer's rule, find the value óf Y: 2x +3y-2=16 5X-y +2Z = 36 X + 2y -42 =5

A: We have given that  2x+3y-z=16 5x-y+2z=36 x+2y-4z=5       In matrix form  23-15-1   212-4xyz=16365…

Q: In(t – 8) 5 7t3 b. y= | 8t

A:

Q: (a) Find the constants A, B, C, and D that satisfy 1 1 1+ (w/o)² 1 + ((z-w)/7)2 Aw B Cw D 1+ (w/o)²…

A: Use partial fractions

Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: 4. a. Find zx + Zy: given that z(x, y) = tan(x3-3x?y2+2y4) V9-х2-у? b. If u then show that x ди дх…

A:

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: The functions f,6) = ¼cos² #/½ sin %3D are Neither linearly dependent or А. independent B. Linearly…

A:

Q: 1. Evaluate 2dw а. 5-4w-2w2

A: a) Evaluate: ∫2dw5-4w-2w2

Q: Which of the following functions do not form a set of fundamental solutions of y" – 4y = 0 Select…

A: We will check every option one by one to find out whether they satisfy our given differential…

Q: Use Cramer's rule to solve for y (y only) in x+y=z=6 3x - 2y+z=-5 x + 3y - 2z = 14

A: The given system of linear equations, x+y-z=63x-2y+z=-5x+3y-2z=14 We have to find the value of y…

Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A)…

A:

Q: Let X1,..., Xn be i.i.d. Gamma(a, B) with a > 0 and B > 0. Find the MMES of a and В.

A: Let x1, ..., xn be the i.i.d Gamma(α, β) ;α>0, β>0. Find the Method of Moment Estimator of α…

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: (D² - 4D + 5)y = e¯*; yp a. Yp 10 b. y, =#e* 10 C. y, =e* 10 d. y, =e* 10

A:

Q: use Gaussian Jordan 2メ+4y+ 6Z = 18 4x+ Sy + 6Z = 24 3x + Y -2Z =4 thy answer should be like this:…

A:

Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: 5. Let (ryz)" a) Compute the directional derivate of f(ay2) at the point (1.1,-1) in the direction…

A:

Q: Substitute r = 1 into + p(z)y=f(z)y and show the result is linear. Write your answer in linear…

A:

Q: Which of the following is not linear? a. 3. 2x + Vy? – Vz3 = 4 (sin T1/2)x1 + 4x2 = cos245 b.…

A: Which of the following is not linear? a 2x+y2-z33=4b sinπ2x1+4x2=cos245c 12x-y+πz=4d…

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: 1) Find ôz l ôu and ôzlôv for z= 4e* In(y), x= In(u cos(v)), y=u sin(v) at the point (u,v)=(2,7/4).…

A:

Q: Compute u X v.

A: Here given vector u=-123, v=2-4-6 Now it can be written as u=-i+2j+3kv=2i-4j-6j Thus vector uXv is…

Q: iv) if z = (xy)¯1 then zx – Zy = %3D b.x + y c. z?(x – y) d.z²(x + y) a. x – y

A:

Q: a) Find the value of + 1) tdt by using the substitution u = +1

A:

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Q: uppose that x + y = 2. What is y" at the point (1, 1)?

A:

Q: Q2. If w = f(u, v) , u = cosx and v = sinx, show that: (30 Marks) d?w = v? fuu + u² fvv – 2uvfuv –…

A:

Q: Q.1) A- If x=u- vandy = u + v then show the equations that correspond to Əw dw Əw. aw. the following…

A:

Q: B. Let z- ( x-y)e×y (x-y)exy Show: Zxx + zyy + exy Cya-x3)= -z (xy+ 2)

A: Partial derivative of a function z=f(x,y) with respect to x is the derivative of z keeping y…