Let T U V be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R2x1 2 1 R3x3 Ex: 5 Ex: 5 7 R7x4 Ex: 5 Ex: 5 3

Q: Answer parts a and b. a. n(A U B) = 18, n(AB) = 5, and n(B) = 15, find n(A). b. If n(A) = 14, n(B) =…

A: (a)  given data, (i)   n(A∪B)=18(ii)  n(A∩B)=5(iii)  n(B)=15

Q: 10. Find.implicitly. and.. 2メ り a Xり2=cus (+y+る) 24.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Dashing Dan is driving south on Sunset Boulevard, where the speed limit is 40 miles per hour. He is…

A: A police officer is sitting 33 feet due east of the intersection with her radar tuned to Dan's car.…

Q: +... If 2 = e1#1+a202+..tan#n, where a + a + .. + a, = 4. Find 42 22

A: Let us consider a function z=f(x1,x2,x3,⋯⋯⋯⋯,xn) then the partial derivatives is given as  ∂z∂x1,…

Q: Complete the following derivation: (AV (B & C)) 1. n. ((Av B) & (A v C)) Premise Goal

A: Given: Here is the given, 1. A∨B∧C                                             Premise     .     .…

Q: Hi! Thank you so much for the response, but I'm not able to see the full explanation because it's…

A: Given polynomials are Part (3):  ( 1 - x) ( 1 + x + x2 + x3)  , Part (4):  ( 1 - x) ( 1 + x + x2 +…

Q: 5.Pin.The..paramcaricC.. aquatizun For..: ... ... betheine.passes…

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Q: CHECK YOUR PROGRESS 4 Which of the following are a. x€ {x, y, z} b. xs {{x}, {y}. (z}} c. xc(x, y,…

A: The statements that are true are as follows:

Q: Find the value of x and y so that 3 6. 12 16 Both x and y are equal to..

A: We use the properties of matrices to find the values of x and y.

Q: A 5 A B 4 12 3 لیا E F 5 3 T L

A: Shortest route is the route where it takes the minimum value or it has minimum traffic.

Q: EX: EXPress i w X.+24+2 where. w and. w in termsfu.amal.V. Z24. o..... ...

A: Chain rule: If w is differentiable function of x, y, z and x, y, z are differentiable functions of…

Q: EXSFind. w and.wat the point. (u. 9.V.).22 0).. ne ..... i f wzin (x+yz), X=uě siau., y =učcau. and…

A: w=ln(x2+y2+z2)x=uevsinu , y=uevcosu and z=uev

Q: Evaluat..f.x.dA. wha.is.the..sgiem.in.the.fiigt. R quandrant..bounded..xy=16. X..8....y.z.. y.e.x...

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Q: Find the value of x and y if ALUV ~ AGEO. G. 4 E y 10

A:

Q: 1.J A shark jumped 13 feet above sea level. The shark wants to eat a fish which is currently…

A:

Q: Find m2Q. R 3 mzQ = [ 3.

A: Since the given traingle  △QRS is a right angled traingle  In △QRS         tan(∠Q) = RS/RQ  =>…

Q: Is this true or false? See attached image. Thank you

A: False, the given statement is false.

Q: 2. Given the following triangular arrangement of circles: bo Each of the numbers 1, 2, ..., 9 is to…

A: Given a triangular arrangement of a total of 9 small circles  each side has 4 circles  and each of…

Q: belermine (eidt at dE using areductión formula.

A: To evaluate the integral

Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

A:

Q: The answer is not given or I am unable tp see it.

A: Given data  Normal distribution μ = 71 σ = 7 N = 550 empirical rule : approximately  68 -95- 99.7 %…

Q: 4. which property is not true. A. (AB) = AB- C. (kA) =k'A"" [ B. |4"|=|4| D. (AB) = B" A"

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: 11

A: We need to solve the given differential equation  (y ' - x)y " - y ' = 0.

Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

A:

Q: 6. Write.a.ct)..in. thefarm..aa.Tt a. N a. r(t).= (tcust).i+ (tsint).j.+tk. tao. ......

A: Given

Q: A5)

A: Given as, a b   c   d e f g   h i j k l

Q: 22.. prave that.Vr(Vf. .x Vg). assum.e. that.f. and.g..ane. functions.x.and y f= fex.y)..…

A: We know for two vectors A and B, ∇·(A×B)=B·(∇×A)-A·(∇×B)

Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

A: