Finding Annihilator and solving matrix equations by reducing them to Echelon form is explained in detail. For specific problem description, please see the problems.

Question (4) Solve the equations over R X1 + 2X2 – 3X3 + 4X4 = 0 X1 + 3X2 – X3 = 0 6X1 + X3 + 2X4 = 0 Question(5) If F = R find Annihilator A(W) of the space W spanned by (2 , 4 , 6 ) , ( 1 , 6 , 2 ). ( Note : Here F is the field and R represents the set of Real Numbers) For the description of the questions, please download the attached question file.

Linear Operator Finding Basis and Dimension of Range and Kernel For complete description of the problems, please see the questions.

Question (1): Let T: R^3 into R^3 be a linear transformation defined by T(x, y, z) = (x + 2y – z, y + z, x + y – 2z ) Find a basis and the dimension of ( i ) Range of T ( ii) the Kernel of T Question (2) : If T:R^4 into R^3 is a linear transformation defined by T( a, b, c, d) = ( a – b + c + d, a + 2c – d, a + b + 3c – 3d ) for a, b, c, d belong to R, then find a basis for Ker T ( i.e. Null Space of T) and Range of T. For the description of the questions with symbolic usage, please see the attached question file.

The answer should look like this x12 + x34 = 500, with the correct numbers filled in.

In setting up the an intermediate (transshipment) node constraint, assume that there are three sources, two intermediate nodes, and two destinations, and travel is possible between all sources and the intermediate nodes and between all intermediate nodes and all destinations for a given transshipment problem. in addition, assume that no travel is possible between source nodes,k between intermediate nodes and between destination nodes and no direct travel from source nodes to destination nodes. Let the source nodes be labeled as 1, 2, and 3, the intermediate nodes be labeled as 4 and 5, and the destination nodes be labeled as 6 and 7. If there are 175 units demanded at destination 6, state th... click for more

What are the total monthly transportation costs for the optimal solution?

A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 assembly plants. The monthly supplies and demands, along with the per-case transportation costs are: Destination Assembly Plant 1 2 3 Supply Source A 5 9 16 200 Factory B 1 2 6 400 C 2 8 7 200 Demand 120 620 60 What are the total monthly transportation costs for the optimal solution? Put your answer in the form xxxx. do not include cents or dollar signs.

Intermediate Node Constraint

In setting up the an intermediate (transshipment) node constraint, assume that there sources, two intermediate nodes, and two destinations, and travel is possible between all sources and the intermediate nodes and between all intermediate nodes and all destinations for a given transshipment problem. In addition, assume that no travel is possible between source nodes. Let the source nodes be labeled as 1, 2, and 3, the intermediate nodes be labeled as 4 and 5, and the destination nodes be labeled as 6 and 7. if there are 175 units demanded at destination 6, state the constraint for destination 6.