Linear Programming Model - A Company produces two products, A and B, which have profits of $9 and $7, respectively.

A Company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. _________________________ Hours/Unit _________________ Product Line 1 Line 2 ____________ ...continues

Transportation problem

See if you can figure this out.

Vector Cross Products and Vector Equations

Compute these vector quantities. 1) (i+3j-k) X (4i-j+2k) 2) (-i+3j+4k) X [(2i-j-k)x(i+j-3k)] Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues. -2 4 0 1 1 0 -3 4 3 Find the equations for the indicated geometrical objects: 1) the plane containing ...continues

Vector Spaces : Characteristic Polynomial of the Identity Operator and Zero Operator

Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?

Similar Symmetric Diagonal Matrix

Suppose that A is a 2x2 matrix with real entries which is symmetric (A^t=A). Prove that A is similar over R to a diagonal matrix.

Basis, Zero Subspace and Invariant Suspaces

This problem is from chapter 6 section 4 of Hoffman and Kunze's book Linear Algebra. Please see the attached file for the fully formatted problems.

Give an example of an operator on C^3 whose minimal polynomial is z^2.

Give an example of an operator on C^3 whose minimal polynomial is z^2. This is #15 from Axler's book, Linear Algebra Done Right.

Linear Algebra : Complex Vector Space and Eigenvalues

This is problem #15 on page 189 of Axler's book Linear Algebra Done Right. Suppose V is a complex vector space. Suppose T is in L(V) is such that 5 and 6 are eigenvalues of T and that T has no other eigenvalues. Prove that (T − 5I)^(n−1)*(T − 6I)^(n−1) = 0, where n = dimV.

Square Matrix with Determinant Equal to 0 and Basis for a Solution Space

1) Let A be a square matrix with determinant equal to 0. Prove that if X is a solution to the equation Ax=b then every solution to this equation must have the form x=X+xot where xo is a solution of Ax=0. 2) Find a basis for the solution space of the following system of equations. x- 2x2+ x3 =-4 -2x +3x2 + x4=6 3x - ...continues

Vector Space Axioms, Zero Element and Geometric Method of Linear Programming

Please see the attached file for the fully formatted problems. 1) Let R+={x/0 ...continues