## OTHER COURSES Algebra Algebra

#### Solved: Question 22 (10 Points] If The Determinant Of The First Matrix Below Is As Given, Find The Determinant Of The Other Matrix. Tab C Detrs T X Yz 3 = C Det-3a-3r+x-3b-3s+y-3c-3t+z 3r 3s 3t

Question 22 (10 points] If the determinant of the first matrix below is as given, find the determinant of the other matrix. Tab c detrs t x yz 3 = C det-3a-3r+x-3b-3s+y-3c-3t+z 3r 3s 3t

#### Solved: 1. Convergence Criteria, Comparison Tests For Each Of The Following Series, Determine If It Is Convergent, Divergent, Or Neither. For Convergent Power Series, Compute The Radius Of Convergence

1. Convergence criteria, comparison tests For each of the following series, determine if it is convergent, divergent, or neither. For convergent power series, compute the radius of convergence. For numerical convergent series, compute the limit. 1 (1.8) n2 1 n 2 (-??)" 2" (2n)! (1.9) n-0 |88

#### Solved: Eigenvalues And Markov Chains. 5. (a) Let A Be The Matrix 1 2 0 1-2 0 1 Calculate The Eigenvalues Of A (b) In Smalltown, There Are Only Two Restaurants, A Fish And Chips Shop And An Indian Cur

Eigenvalues and Markov chains. 5. (a) Let A be the matrix 1 2 0 1-2 0 1 Calculate the eigenvalues of A (b) In Smalltown, there are only two restaurants, a Fish and chips shop and an Indian curry restaurant. Every day, the people in Smalltown eat either at one of the two restaurants, or they eat at Home. We assume that their choice only depends on where they had dinner the previous day. The transi

#### Solved: Determinants And Linear Transformations 4. (a) Let A Be The Matrix 1 -2 4 1 3 2 11 I) Calculate The Determinant Of A Using Cofactor Expansion Of Row 3. (ii) Is A Invertible? If So, Give The Th

Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make sure to clearly track the changes. (c) L

#### Solved: Algebra Of Matrices. 3. (a) If A Is A Square Matrix, What Does It Mean To Say That B Is An Inverse Of A (b) Define AT. Give A Proof That If A Has An Inverse, Then So Does AT. (c) Let A Be A 3

Algebra of matrices. 3. (a) If A is a square matrix, what does it mean to say that B is an inverse of A (b) Define AT. Give a proof that if A has an inverse, then so does AT. (c) Let A be a 3 x 3 matrix that can be transformed into the identity matrix by perform ing the following three row operations in the given order: R2 x 3, Ri R3, R3+2R1 (i) Write down the elementary matrices corresponding to

#### Solved: Systems Of Linear Equations 2. (a) Write Out The Gauss-Jordan Reduction To Find The Reduced Row Echelon Form (RREF) 1 2 0 0 Of The Matrix A = 0 1 -2 -1 0 4-6 0 (b) Find All Solutions Of The Sy

Systems of linear equations 2. (a) Write out the Gauss-Jordan reduction to find the reduced row echelon form (RREF) 1 2 0 0 of the matrix A = 0 1 -2 -1 0 4-6 0 (b) Find all solutions of the system x2y y-2z 4y-6z = 0 0 -1 (c) The equations in part (b) represent three planes in space What does the solution to part (b) say about those planes? (d) Find all solutions of the following systems of linear

#### Solved: Vector Algebra And Geometry 1. (a) Given Vectors V (v1,v2, V3) And W (w, W2, W3), Write Down The Following. (i) The Formula For The Length V Of V (ii) The Definition Of The Unit Vector V In Th

Vector algebra and geometry 1. (a) Given vectors v (v1,v2, v3) and w (w, w2, W3), write down the following. (i) The formula for the length v of v (ii) The definition of the unit vector v in the direction of v (iii) The algebraic definition of the dot product v w (iv) The geometric definition of v w (v) The geometric description of the length v x w of the cross product. (b) Consider the points P(1

#### Solved: Calculate The Eigenvalues And Corresponding Eigenspaces. Explain Why A I3 Diagonalisable. (b) Consider The Basis B {(1,1), (1,-1)} For R2, And Consider The Linear Transfor- Mation T(r,y)=(2r-y

question 11 Calculate the eigenvalues and corresponding eigenspaces. Explain why A I3 diagonalisable. (b) Consider the basis B {(1,1), (1,-1)} for R2, and consider the linear transfor- mation T(r,y)=(2r-y,-1+2y). i. Compute (Ts 2- (0) to give a geometrical interpretation of T in terms of ii. Use your answer to the directions corresponding to B 17 marks 11. A student has to complete a total of

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. 6. For question 6 we define j such that -1 (a) Let z 2+5j and u=5+j4. Determine the following: (i) z- (H) (b) Let 2-1+3j (i) Express zin exponential form (ii Find 2 in rectangular form a + jb (iii) Find all the roots of

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. (a) Solve the following linear system by Gaussian elimination: 5. 32 36 T = 4z 2y 4 7 = 32 5z 3y 50 [13 marks Page 4 5 -1 1 1 2 -3 1 3 2 (b) (i) Let A |5 -3 and C= B = -6 2 4 6 5 3 -2 10 2 -6 Calculate the following if possible (if your answer is impossible, you need to gi

#### Solved: (a) Solve The Following Linear System By Gaussian Elimination: 5. 32 36 T = 4z 2y 4 7 = 32 5z 3y 50 [13 Marks Page 4 5 -1 1 1 2 -3 1 3 2 (b) (i) Let A |5 -3 And C= B = -6 2 4 6 5 3 -2 10 2 -6

(a) Solve the following linear system by Gaussian elimination: 5. 32 36 T = 4z 2y 4 7 = 32 5z 3y 50 [13 marks Page 4 5 -1 1 1 2 -3 1 3 2 (b) (i) Let A |5 -3 and C= B = -6 2 4 6 5 3 -2 10 2 -6 Calculate the following if possible (if your answer is impossible, you need to give reasons why this is the case): (i) BC 2 marks (ii) A+B 2 marks (iii) AB 3 marks +

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. Figure 3 The perimeter of the fence is 200m. Show that the area A constrained by the fence is A 100 Find the values of rand y for which the area A is a maximum Is there a relationship between and y which gives maximum area?

#### Solved: 3. Consider The Following Graph Y 3 9 Local Maximum A Y Intercept B Intercept C 1 Local Minimum D 3r9 Figure 2 Determine The Coordinates Of A, B, Cand D. In The Case Of Maximum And Minimum You

3. Consider the following graph y 3 9 Local Maximum A y Intercept B Intercept C 1 Local Minimum D 3r9 Figure 2 Determine the coordinates of A, B, Cand D. In the case of maximum and minimum you need to show that you do indeed have a maximum and minimum respectively [13 marks (b) The following figure shows a fece of dimensions r and y

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. (d) Evaluate the following () (2+)(2-) 3j4 2 () 2 + 6 marks (e) Solve the following by using matrices (any other method will not receive any marks) 3r 4y = 7 7x 2y -13 6 marks

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. (c) Determine the shaded area in Fig 1 Page 1 5 4 6r 8 -2x 14 12 10 6 4 2 -2.5 2 -1.5 -1 -0.5 0.5 15 2.5 -2 [6 marks Figure 1

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. |(a) Differentiate the following functions with respect to and simplify your answer 1. possible far as as -5 1 mark (ii) esin (2r [4 marks 11 y = In(a) [5 marks (b) Determine the following da : sin (i) 6 marks dx 11 - 1)(x +3)

#### Solved: Od Luck! Question 1 Write The Augmented Matrix For The System. -2x + 2y + 4z = -10 6x + 6y + 4z = 2 6x + 9y +4z -1 [-2 214 6 64 6 94 -10 4 2-2 ] 6 2 4 6 6 -1 49 -2 6 6-10 2 69 4 44 2 -1 -2 2 4

od luck! Question 1 Write the augmented matrix for the system. -2x + 2y + 4z = -10 6x + 6y + 4z = 2 6x + 9y +4z -1 [-2 214 6 64 6 94 -10 4 2-2 ] 6 2 4 6 6 -1 49 -2 6 6-10 2 69 4 44 2 -1 -2 2 41-10 1 6 6 4 69 4 87

#### Solved: Question 4 Write The Augmented Matrix For The System. -2x + 2y 2 6x 2y = -10 21 1-2 2 6-2-10 T-2 21-10 -2 6 2 |-2 6 2l 2-2-10 2 2-2 -10 6-2 Question 5 Evalute The Deter

write the argumented matrix for the system Question 4 Write the augmented matrix for the system. -2x + 2y 2 6x 2y = -10 21 1-2 2 6-2-10 T-2 21-10 -2 6 2 |-2 6 2l 2-2-10 2 2-2 -10 6-2 Question 5 Evalute the deter

#### Solved: I Am Struggling Very Much With This Question, Could You Please Provide A Detailed Answer, I Will Rate It. Thank You Very Much.

I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very much. 9. Consider the periodic function defined by 1+x -sx<0 f(x) |1-x 0<xs1 f(x)f(x+2) Sketch the graph of f(x) for -3 <x\$3, a) Determine the Fourier series expression and write down the approximation to f(x) provided by the first five non-vanishing contributions to t

#### Solved: I Am Struggling With This Question Could You Please Provide A Detailed Answer, I Will Rate It. Thank You

I am struggling with this question could you please provide a detailed answer, I will rate it. Thank you Find the functionf() whose Laplace transform is 5. F(s)() a) 2s+ F(s) 4s+5 b)

#### Solved: The Function X) Satisfies The Differential Equation D2xdx4x=e Didt -2 And The Initial Conditions X(0)1, (0)-1 Dt Show That The Laplace Transform, X(s), Of X(f) Is Given By 2-2s-7 (s) = S+2)(s-

The function x) satisfies the differential equation d2xdx4x=e didt -2 and the initial conditions x(0)1, (0)-1 dt Show that the Laplace transform, x(s), of x(f) is given by 2-2s-7 (s) = s+2)(s-3s - 4)

#### Solved: Question 15 [10 Points] Express The Following Invertible Matrix A As A Product Of Elementary Matrices: You Can Resize A Matrix (when Appropriate) By Clicking And Dragging The Bottom-right Corn

Question 15 [10 points] Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix [o 1 9 A=0 1 6 1 0 -6 Number of Matrices: 0 00 A=0 00 0 0 0

#### Solved: (1 Point) Rationalize The Denominator And Simplify The Expression. Use Sqrt() For 3 3 Preview My Answers Submit Answers Show Me Another

(1 point) Rationalize the denominator and simplify the expression. Use sqrt() for 3 3 Preview My Answers Submit Answers Show me another

#### Solved: (1 Point) Simplify The Expression, Answering With Rational Exponents And Not Radicals. V27n

(1 point) Simplify the expression, answering with rational exponents and not radicals. V27n

#### Solved: Ge Algebra (MAT-137-875) > Assignments Section 2.6-Combinations And Compos Section 2.6-Combinations And Composition Of Fur Online MAT 137 Section 875-Summer 2019 Homework: Section 2.6 - Combin

ge Algebra (MAT-137-875) > Assignments Section 2.6-Combinations and Compos Section 2.6-Combinations and Composition of Fur Online MAT 137 Section 875-Summer 2019 Homework: Section 2.6 - Combinations and Composition of Func Score: 0 of 1 pt 14 of 35 (11 complete) HW 2.6.35 First find f+g,f-g. fg and Then determine the domain for each function. fix) 3x-24x+36, g(x) x-6 (Simplify your answer.

#### Solved: What Is The Least Common Denominator Needed To Subtract 4y Y2+6y+5 Y2+5y+4? 3y Select One: A. (y +1)(y-3) B. (y + 4)6y5) (y + 1) C. 4y(y+5)(y 1) D. (y+5)y +2) (y + 2)(y + 1)

What is the least common denominator needed to subtract 4y y2+6y+5 y2+5y+4? 3y Select one: a. (y +1)(y-3) b. (y + 4)6y5) (y + 1) c. 4y(y+5)(y 1) d. (y+5)y +2) (y + 2)(y + 1)

#### Solved: (1 Point) Simplify The Expression, Answering With Rational Expon V9x Dreview My Answers Submit Answers Show M

(1 point) Simplify the expression, answering with rational expon V9x Dreview My Answers Submit Answers Show m

#### Solved: Y2-7y Divide 3y2-48 Y2-10y+21 2-73y+12 And Reduce To Lowest Terms. Select One: Y A. 3y+12 B. 1 1 C. 3 2-7y D. Y+4

y2-7y Divide 3y2-48 y2-10y+21 2-73y+12 and reduce to lowest terms. Select one: y a. 3y+12 b. 1 1 C. 3 2-7y d. y+4

#### Solved: What Is The Least Common Denominator Needed To Subtract X2-KI12? X2-16 Select One: (x-4)(x + 4)(x + 2)(x -6) ?. B. (x - 4)(x + 4)(x + 3) (x+4)2(x- 2)(x + 6) C. D. (x + 4)2(x+ 3)

What is the least common denominator needed to subtract x2-KI12? x2-16 Select one: (x-4)(x + 4)(x + 2)(x -6) ?. b. (x - 4)(x + 4)(x + 3) (x+4)2(x- 2)(x + 6) C. d. (x + 4)2(x+ 3)

#### Solved: (1 Point) Without Using A Calculator, Evaluate The Expression. (

(1 point) Without using a calculator, evaluate the expression. (

#### Solved: Consider The Following Case Of Exponential Growth. Complete Parts A Throughc Below. The Population Of A Town With An Initial Population Of 71,000 Grows At A Rate Of 4.5% Per Year. A. Create An

Consider the following case of exponential growth. Complete parts a throughc below. The population of a town with an initial population of 71,000 grows at a rate of 4.5% per year. a. Create an exponential function of the form Q Qn x(1 +r), (where r> 0 for growth and r 0 for decay) to model the situation described. Q = (Type integers or decimals.) b. Create a table showing the value of the quan