Consider the following linear transformation and answer the questions to follow. T: R? -→ R' : T(x,y) = (x -- y,y -x, 2x -- 2y). Write down the standard matrix for T.

Q: frox) and gl): 5+x O> で fo) = 6-x grx)= z²+2x20 %3D 4) Find all oc for which frx) = 9(2). Gire exact…

A: we have to find the values of x

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Q: A. Consider the set R2 with the following non standard addition operation e (a, b) Ð (c, d) = (0, b…

A: 1) The given operation addition is: (a,b)⊕(c,d)=(0,b+d)∈ℝ2 So, the operation is closed under…

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A: Consider the system of equation is of the form                  AX = B then X = A-1B

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Q: Jy 2x + 1 x + 2y s 14 x +2 20 10 Graph Layers After you add an object to the graph you 7- can use…

A: Given problem:- Graph the system of inequalities.   y≥2x+1 x + 2y ≤ 14 x+2≥0

Q: 3w + 2x – 8y = -5 Ow + 9x +4y + 3z = 4 – 13w + 2x + 6y +z = -7 - 2w + 3x + 2y + 10z = 0 SECTION I:…

A: We will set up the augmented matrix first.

Q: Find the values of x and y for the following. Зх - 4y – 4 -9 -4 2x + y 5 5

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Q: Part B - Full-solution Questions 0 0 -2 Question 26 Let A = 1 2 1 10 3 (a) By finding the…

A: The given matrix is;  A= 0 0 -2      1 2 1      1 0 3.

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Q: A rectangular garden is 48 meters long. A fence along a diagonal of the garden measures 55 meters.…

A: Here we use the concept of trigonometric ratio.

Q: 8. y = --x+6 2. 8. Slope = 3. y-intercept = 6 7. %3D 4. 476

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Q: 72 ven the geometric sequence: 34, 12, 17 nd an explicit formula for an, where the first term is a1…

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Q: Case study: A pile of granules in a warehouse is being poured at a rate of 105 cm3/minute and form a…

A: We need to find time.

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A: topic - permutations and combinations

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Q: 7) 4, –8, 16, -32, ... =-384 В) а, =-128 С) а, %3-512 D) а, %3D-256 8. 8.

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Q: Consider the line 3x-5y=-7. What is the slope of a line parallel to this line? What is the slope of…

A: Consider the line        y =mx+b; where, 'm' is the slope of the given line  thenslope of the…

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Q: If Ø: R → S is a ring isomorphism. The Ø preserves: O Nilpotent elements O Idempotent elements Units…

A: We need to choose correct option.

Q: 1 k 8 -6 6 O -8 7 3 2 Let A = 0 0 k 3 -7 0 0 0 7 -6 0 0 0 0 9 choose When is det(A) > 0?

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Q: Exercise: Solve the following equati- 1. 4x? – 17 x + 15 = 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: For a segment of a radio show, a disc jockey can play 10 records. If there are 15 records to select…

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Q: nat is the Surface Area of the Cylinder? 6cm 9cm

A: Given diameter=6 cm and height = 9 cmRadius=Diameter/2             =3 cmWe know that Surface area of…

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A: Solving the problem by finding the volume of the cylinder.

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A: Given

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A: On solving this we will get

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A: Given

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A: A=43-31, B=24-4k

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A: Absolute and relative change

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A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

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Q: Subtract in the indicated base. 8210g - 71369

A: We can answer the questions as below.

Q: 15.aib are in linearly independant vectors IK. et W= Span {aib, 2a+3b8. Tinen the dman sian )I B) 2…

A: Here, the vector 2a+3b is depending upon a and b. Therefore, any vector of W can be written as a…

Q: Problem 3: a) Find the Fourier series the function f (x) = x2 for - <xS T. b) Apply Parseval's…

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Q: 1) –9x* + 3x

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Q: 3357 х 237

A: see below the answer and calculation

Q: Direction: Find (A U B), (A N B), and A\B of the following sets. Note: R - set of real number and Z+…

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

Q: 1. The function f(x) passes through the point (-1, 4) b. (1, –4) с. (-1, -4) d. (1, 4) а.

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Q: #16. X=\ [5-24 dis are real numbers Then a basis for X 1S'. iS. A) 6) -2 3 2 3 D) E) Mone

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Q: A f(x) = x³ – 5x² + 2x + 8 - TURNING POINTS PARENT FUNCTION END BEHAVIOR INCREASING INTERVALS ZEROS…

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Q: 9. and u = 7 4 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to…

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Q: a) Exaluate: %3D :(?)6 puo (x puif (9 and (3 +x x <O %3D for which f (x)=9). Give exact working out…

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Q: Graph function. State the (CA) center of asymptote (V (R) range of each and transformations. 1) fle)…

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Q: Given the graph, determine whether (a) the degree is even or odd and (b) the leading coefficient is…

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Q: What are the two zeros of the function h(x) = x(x + 3)? x = -9 x = -3 O x = 0 %3D x = 3 x = 9 {

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Q: Wyatt wants to spend no more than $25 at the grocery store. He bought a pizza for $7.55 and a cake…

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