The Currents in an Electrical Network Are Given by the Solutions

question 227

Multiple Choice

The currents in an electrical network are given by the solutions of the system $$\left\{ \begin{aligned}I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \\4 I _ { 1 } + 5 I _ { 3 } & = 23 \\6 I _ { 2 } + I _ { 3 } & = 9\end{aligned} \right.$$ where I₁, I₂, and I₃ are measured in amperes.Solve the system of equations using matrices.

• A)I₁ = 2, I₂ = 3, I₃ = 1
• B)I₁ = 2, I₂ = 1, I₃ = 3
• C)I₁ = 4, I₂ = 4, I₃ = 9
• D)I₁ = 4, I₂ = 4, I₃ = 8
• E)no solution

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Definitions:

Greatest Common Monomial Factor

The highest monomial that exactly divides each term of a given polynomial without leaving a remainder.

Polynomial

An algebraic expression consisting of variables and coefficients, combined only by addition, subtraction, multiplication, and non-negative integer exponents.

Greatest Common Factor

The highest number that divides exactly into two or more numbers without leaving a remainder.

Missing Factor

A value that, when multiplied with others, gives a specified result; often used in solving algebraic equations.