🇺🇸

Question about Linear Systems: Written by Matrices

Subject Mathematics

Mathematics

Source Originais Teachy

Originais Teachy

Topic Linear Systems: Written by Matrices

Linear Systems: Written by Matrices

Difficulty Hard

Hard

(Originais Teachy 2023) - Question Hard of Mathematics

In a large engineering system, a building is being designed and energy efficiency is a major concern. To ensure the efficiency of heating and cooling, the air conditioning system must be sized according to the specific needs of the building. The engineer in charge of the project must solve a system of linear equations to determine the ideal operating temperatures. Let the following be the system of equations that models the thermal behavior of the building: 2x + y + 3z = 10, 4x - 6y + 8z = 5, 3x + 7y + 5z = 18. The engineer must rewrite this system of equations in the matrix form Ax = b, where A is the matrix of coefficients, x is the vector of unknowns, and b is the vector of constant terms.

A = [[2, 1, 3], [4, 6, 8], [3, 7, 5]], x = [x, y, z], b = [10, 5, 18]

A = [[2, 1, 3], [4, -6, 8], [3, 7, 5]], x = [x, z, y], b = [10, 18, 5]

A = [[2, 1, 3], [4, -6, 8], [3, 7, 5]], x = [x, y], b = [10, 5, 18]

A = [[2, 1, 3], [4, -6, 8], [3, 7, 5]], x = [x, y, z], b = [10, 5, 18]

A = [[2, 1, 3], [4, -6, 8], [3, 7, 5]], x = [x, y, z, w], b = [10, 5, 18]

Answer sheet:

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices. Sed non sem ultricies, sollicitudin sem facilisis, commodo justo. Maecenas mattis sodales nunc, et auctor massa fermentum a. Maecenas eget nisl felis.