20r1 – 10r2 5r1 + x2 < 8010 -2r1 + 3r2 < 700 I1, 12 2 0 max subject to: . Consider the following LP P: (a) List the six possible bases of P and find their corresponding solutions. To do this, first add slack variables and then pivot so as to produce each basis and its corresponding basic solution.

Q: If aij = 3i -2j ,A2x2 A=aij then the element in the second row, the first column is equal to

A:

Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

A:

Q: Consider the data (1,10), (3,6)(1,10), (3,6). Then, Newton's polynomial that interpolates the data…

A: Solution of given problem is followed by Newton's interpolation formula.

Q: 22. Find the zeros off (x) = x³ – 4x² + x + 6

A: we have to find roots

Q: X1 3x2 + 5x3 + 15x4 T(x) = |3x₁ + 8x2 − 2x3 − 23x4 4x17x2 + x3 - 16x4

A:

Q: Find all roots of each of the following quartic polynomials: (a) z+ V10z + using factorization into…

A: The roots of a function are the points at which the value of the function is 0. The factorization of…

Q: Q3. Solve by Matrix Inversion Method the following set of equation: -1] [X1 1 X2 = 10 X3 -3 1 [2] 2…

A: We can write our question in the form of AX = B, and we need to find the X. For that find X = A-1B.

Q: 1) Factor f(x) = 2x3 + (-3-2i)x? + (-3- i)x + (2 + i) into linear factors 2 +i is a zero of the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: [a + 9   5z+1   9m]       [10a    9z    6m]        [20     -55    135]…

A: Given that: a+95z+19m9k35+10a9z6m8k35=20−5513568610 To find the value of a, z, m, and k.

Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

A:

Q: Find the matrix exponential of -3x1 + 8x2 x2 = 12x1 – 7x2 and use the matrix exponential to solve…

A: Given that  x1'=-3x1+8x2x2'=12x1-7x2 and the initial conditions are x10=1,x20=-1 The objective is to…

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

A:

Q: Use the given definition to find f(A): If f(x) = a + a₁x + a₂x². + ... + anx is a polynomial…

A:

Q: Let P0. (x) denote the quadratic polynomial that interpolates the data {(xo, yo), (x1, y1), (x2,…

A:

Q: Q 1. Simplify the following Q2. Factorise the following quadratic expressions: Q.3 Fully factorise…

A:

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: [1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0

A: According to the given information, it is required to find a linear dependence between the columns…

Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: 5) Given the function f(z) = 5+ 6z -4z2, find and simplify the difference quotient. f(z +h) – f(x)…

A: we have to find the difference quotient for the following function

Q: 3. Decompose and find constants x+4 а) x (х-2) x+2 b) x2+4x+3 2x2 +х-12 с) x (х+3)(х+2)

A: As per our guidelines, we are allowed to answer the first three subparts of the first question only…

Q: Determine the solution set using an augmented matrix and Gauss-Jordan elimination

A: Given that        3x - 5y = -25       6x + 2y = -26

Q: Find the equation of the least squares using matrix methods. Use your equation in a above to…

A:

Q: For R1: y=2x2-3x-5, R2: y=x2-x-2,

A: answer is in next step

Q: -14 2k -81 9. Find the values of the variables 3f %3D 3 -3 3 10. Find the zeros of the polynomial r3…

A:

Q: Q2: Find the inverse of the matrix M =

A: The given matrix is: M=-312-1 Formula: The inverse of the matrix A=abcd is: A-1=1ad-bcd-b-ca By the…

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.