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).

A:

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

A:

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…

A:

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

A:

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…

A:

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…

A:

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…

A:

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

A:

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

A:

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

A:

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…

A:

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

A:

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

A:

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

A:

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