Let A = 1 0 0 -3 7 3 10 . Suppose that A-¹ = a₂ A² + a₁ A+ ao I. Find a₂ = 0 -1 a1 = ao = Please write fractions in the following way: e.g. If you want to write, please write 1/3 in your answer.

Q: T-1 3 Let A = Find S, D, and S-1 such that A = SDS-¹ S= 88 ,D= 1981 S-¹_ 81

A: We have to find the value of Diginal matrix.

Q: 1 - 1 2 T-1 1 0. and B= 5 Find x such that Let A = -7 1 3 - 2 - 2 - 2 14 - 57 AB = 27 - 32 3 %3D - 5…

A:

Q: こ be terms Prove Find o of ů, ů. your resubts . in

A: Consider the given vectors: Here the objective is to find the vector w such that

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: 1 2 Let A = 2 3 1 and C = 0 -2 1 1 | 1 B = -2 Find the trace 3 1 1 1 of (2AB + C)T.

A:

Q: Determine the intervals of continuity for the following function. AY 5- 4- 3- 2- 14 0+ 1. 2 3 4 6. 5

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Q: 1. Solue cos ( x - 2) = 7

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Q: 4x obtain the section of the equation Ex xl with the condition u oon X4

A: Let us consider the given PDE is P(x,y,u)ux+Q(x,y,u)uy=R(x,y,u) The equation is solved as Determine…

Q: 3. Label (with explanation) as true or false. (b) {1} e {{1},2,3}. (a) 5 C N. (c) Ø CR,

A: 3. Labelwith explanation as true or falsea, 5⊂ℕb. 1∈1,2,3c. ∅⊂ℝ

Q: a. {(1, 1), (2, (1, 2, 3)}; b. {(1,0, 1), (1, 2, 4), (2, 2, 5), (2, 2, –1)}; R³ C. {(1.0 2 3) (0.…

A: Given that a. {(1,2,1), (2,4,5), (1,2,3)} c. {(1,0,2,3), (0,1,1,1), (1,1,4,4)}

Q: 1+3i+2-5i = 10 (1 + i) ¹⁰ = (1 +3i)· (2 - 5i) = +99 + 100i ; 1+2i+3+4i + =

A:

Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: Find f, f, and f. The symbol A is the Greek letter lambda. f(x, y, A) = 8xy – A(5x+ 7y – 12) 5-口 %3D

A:

Q: 1 -3 2 X1 , let X = X2 Let A and let D = %3D 2 -5 Furthermore, we have that AX=D. In blank 1, what…

A: The solution is given as

Q: SetS = round(10 ∗ rand(5));S = triu(S, 1) + eye(5)S = S' ∗ ST = inv(S) The exact inverse of S should…

A: These are basic MATLAB commands, this is done on the MATLAB window and results are shown below: