Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute A¹. 000 30 and D= 30 020 0 0 1

Q: 1. 6р - 6 р 2 2p 9p - 9

A: To simplify the following expression.

Q: Let A [ - 5 13 12 13 2333 12 13 5 Explain why A-₁ = AT. -1 13

A: Step 1:

Q: Assume that the population size of honey bees in billions at year t is hy, and the population size…

A: Deriving the explicit formulas:The recursive relationship for honey bees is: he+1 = 2he - 4, 87+1 =…

Q: Let A =000 Compute JCF(A).

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Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 1 2 - 1 3 D= A4= (Simplify your answer.) 1…

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Q: Ex: evaluate 1 203 (1- 3 (1 – t)0.9 dt 0.

A: Explanation of the solution is given below...

Q: 4. Let -81 | A = 1 (a) Factor A into a product PDP-1, where D is diagonal. (b) Compute e4.

A: We can solve this using diagonalisation

Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 0 1 -2 PACHH D= 1 - 1 3 P= A² = (Simplify…

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Q: 7) Determine the polynomial by Newton's forward difference formula from the following table: x y 0…

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Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: Use nested multiplication algorithm to convert the polynomial 1+2x+3x² into its equivale Newton form…

A: In this question, the nested algorithm to convert the polynomial 1+2x+3x2 into its equivalent Newton…

Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: Find the product AB if [2 5 -1] A = 3 6 l7 8 -3 0 -21 4 and B: = -1 1 7 8.

A: Given matrices: A=25-136478-3B=90-2-161782

Q: Find the QR factorization of A = R = Ex: 1.23 0 -1 -4 -2 0 0 3 1 0 given Q 0 -0.24 -0.97 -0.99 -0.12…

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Q: Determine the product of the following: (x - 3) (x + 7) O x2 – 4x + 21 |- O x? + 4x – 21 O x - 10x +…

A: The given equation is:    (x-3)(x+7)

Q: 1 0 3 1 2 -1 1 0 1 2 -1 -1 1 -2

A: We have to calculate the product: 103-11001-1212320-11-2

Q: Find the QR factorization of A = R = Ex: 1.23 0 4 -2 0 1 given Q = 0 -0.99 -0.12 -0.24 -0.12 0.96…

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Q: A = [12] 13 compute 4-3

A: Solution :- First find the inverse of matrix A Here A =1213A-1=1213-1Find 2x2 matrix inverse…

Q: Find the index of 5 relative to each of the primitive roots of 13 (a) 2 (b) 6 (c) 7 (d) 11

A: To find the index of 5 relative to each of the primitive roots of 13. We know that p be prime number…

Q: Q1) Find the inverse of A (1 00 A=2 1 0 5 4 1

A: A=100210541

Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 2 -3 5 -3 D= 10 1 2 0

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Q: Observe the following pattern: 1 + 3 = 22 1 + 3 + 5 = 32 1 + 3 + 5 + 7 = 42  Find the next two lines…

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Q: Let à = (0, 3, 2), b = (3, 1, 1), and c = (2, 6, 3). a Compute the following: = (a - b) (à · c) :…

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Q: H.W Compute the following products: 7 a. 1/3] -2 31 7 -6 21 ь. [3 -1 4] х| 5 1 -4

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Q: A=[1 2 3 5, 9 13 26 15, 4 -1 0 3, 6 9 11 7] compute A-1

A: Given matrix is  A = 123591326154-10369117 find A-1

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: b) The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

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Q: Q4) Fit a second order polynomial to the following data i 1 2 3 4 5 0.4 0.8 1.2 1.6 2 Ly 0 0.25 1…

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Q: Select the correct answer. Which expression is equivalent to this polynomial? 4x + 27 O A. (2z +…

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Q: カーて A %3D 3.

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Q: and a3= Recursive : an=an-lor I-udo'b=ub: oilldag

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Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

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Q: Divide by using long division: x* +2x-3x-6x+2 2- 2x-1 10x +8 O A. x +4x+6+ 2 x-2x-1 10x+1 O B.…

A: We have to divide