9. Express the gcd(117,213) as a linear combination of s and t such that gcd(117,213) = 117s + 213t %3D

Q: A shop sells 3 brands of textile: B1, B2, and B3 of yarn, each of which is a blend of Orange (0),…

A: Given that,A shop sells 3 brands of textiles: B1, B2, and B3 of yarn, each of which is a blend of…

Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: Find the least-squares line y = Bo + Bjx that best fits the data (-2,0), (–1,0), (0, 2), (1,4), and…

A:

Q: Suppose that T : R2 --> R2 is linear, T(1,0) = (1, 4), and T(1, 1) = (2, 5). What is T(2, 3)? Is…

A:

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

A:

Q: Show that ex and e−x are linearly independent in C(−∞,∞).

A:

Q: Find the first piece S1 (x) of a natural cubic spline that interpolates the set of points (0,1),…

A: Formula for cubic spline interpolation is…

Q: snip

A: Here given P2 is the vector space of polynomial with degree less or equal to 2, Thus 1, x, x2 is…

Q: A is symmetric

A: In this question, we have to check the matrix A is symmetric or not.

Q: Evaluate / (x - 2y + z) ds. S: z = 3 - x, 0sxs 3, 0sys 2

A:

Q: Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2…

A:

Q: 3 Rnd the lineasion of the hunctran f(xLcos line asiz l

A:

Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: It is not necessary that the 1st row and the 1st column is  always zero. It may be possible or it…

Q: 3 For which value(s) of h is the set 4. -8 linearly 1 7 independent? Write your answer in one of the…

A:

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: A manufacturing company employs two devices to inspect output for quality control purposes.

Q: 3. Find the value(s) of h such that b is a linear combination of and a3. -()-) -() --() ај, а2, 5 aj…

A:

Q: Suppose ƒ(1, 2) = 4, ƒx(1, 2) = 5, and ƒy(1, 2) = -3. Find the linear approximation to ƒ at P0(1, 2,…

A:

Q: (d) Compute the cross product (0, 2, 1) × (1, 3, 1).

A:

Q: 2. Find the desivative ofy= Binx

A:

Q: 4-Find the coordinates the front trace F for line AB, if A(2, 1, -2) and B(3, 3, -5). * O (1,-1) O…

A: A=(2,1,-2) B=(3,3,-5)

Q: . Compute CNF (NNF (IMPL FREE ((p V q)->r)>((p>r) V (q→r))))

A: Given, CNFNNFIMPL FREEp∨q→rp→r∨q→r Now, solving the given statement. CNFNNFIMPL…

Q: A 6x 6 square is tiled by 2x 1 dominoes. Prove that it has at least one fault-line, that is, a…

A: Consider a 6×6 square which is tiled by 2×1 dominoes. Suppose the 6×6 square has no fault lines.…

Q: 3e dt 10. SET A.

A: We will use the concepts of definite integral

Q: Compute ∇ƒ(-1, 2, 1), where ƒ(x, y, z) = xy/z.

A: Given,f(x,y,z)=xyz     As we know ∇f(x,y,z)=∂f∂x,∂f∂y,∂f∂z

Q: 8. Show that, for u, v E R³, ||u|| ||| = (u - v)² + ||u x v||².

A:

Q: Compute Jx²z ds where C is the line segment from (0,6,–1) to (4,1,5).

A: The objective is to compute ∫Cx2zds where C is line segment from  0,6,-1 to 4,1,5

Q: 6) MLATU = 45°, mZSTU = 120x – 1, and mZSTA = 73x + 1. Find x. %3D %3D T. U A

A:

Q: Suppose that U(x; y) = xe' + ysin z, and that x, y and z can be measured with maximum possible…

A:

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: Given: For X Number of trials (n1) = 4 Probability of success (p1) = 0.993 For Y Number of trials…

Q: 2. Solve the given SLE using LU-Factorization X, + x, +xz = 3 x, - x, +4x; = 4 2х, + 3x, — 5х, %3D0…

A:

Q: Suppose the columns of A are linearly independent. Determine what happens to the least-squares…

A:

Q: a. Is S = {v1, V2, V3} linearly independent

A:

Q: Compute 1. % 1+ vår + g2 dr, lal 2 1+ " 2. 1+ V2r-

A:

Q: Find the solution x to the least squares problem, given that A = QR in each of the following:

A:

Q: Which of the following sets is linearly independent in P2 ?

A:

Q: After the availability of covid 19 vaccinces in the Phiippines, the data below shows the number of…

A:

Q: Suppose three similar geometric figures are constructed off the three sides of a right triangle in…

A: Consider a right triangle with the length of the altitude a, the length of the base b and the length…

Q: Consider the first order linear PDE и, (х, у) + 2и,(х, у) + u(х, у) %3 4х. Find its general solution

A:

Q: 4. By separating the variables convert the PDE into a system of ODES = u, XX

A: The equation with separable variable is U(x,t)=X(x)T(t) Th partial differential equation of the form…

Q: et §, ŋ, o be real numbers and consider ctors (1,5,§³); (1,ŋ,n³); (1,0,0²). Determine e conditions…

A:

Q: Suppose that U(x; y) = xe' + ysin z, and that x, y and z can be measured with maximuma possible…

A:

Q: If a = i + j + 5k and b = i + j + 3k, compute the cross product aXb

A: We have to find cross product

Q: be a normalize s in general for x | ≤||x|*||y|| e or disprove it eans multiplicati

A:

Q: 2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

A: Given: c is a line segment joining 1, 1, 1 and 3, 2, 0. To evaluate: ∫cyzdx+xzdy+xydz

Q: s convex.

A:

Q: c) Evaluate ſ x*(In x)²dx

A:

Q: 5. Define the terms : Skewness and Kurtosis.

A: In statistics there are two types of measures namely measures of central tendency and…

Q: Show that S = 2 is a linearly independent set in R³.

A: Given:     S = 121 , 011 , 201   To show that S is linearly independent set in R3

Q: - How many modes does X have?

A: The probability function of X can be described as X 1  5 10 15 f(x) 24k 100k 150k 150k

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.