Solving Systems of Equations Using Matrices

What is the first step in solving systems of equations using matrices?

• Convert equations to slope-intercept form

• Write equations in standard form

• Use substitution method

• Graph the equations

When entering a matrix into a calculator, what should you ensure about the signs of coefficients?

• Use only positive signs

• Avoid using the minus sign to prevent errors

• Use the minus sign for negative numbers

• Use parentheses around negative numbers

What does a unique solution in a matrix look like?

• All zeros in the matrix

• All ones in the matrix

• Diagonal of zeros with ones elsewhere

• Diagonal of ones with zeros elsewhere

What indicates a consistent system with infinite solutions in a matrix?

• A row of ones equaling zero

• A diagonal of ones

• A row of zeros equaling one

• A row of zeros equaling zero

What does it mean if a matrix system is consistent?

• It has inconsistent solutions

• It has no solutions

• It has a unique solution

• It has infinite solutions

How can you identify an inconsistent system in a matrix?

• A row of zeros equaling zero

• A row of zeros equaling one

• A diagonal of ones

• A row of ones equaling zero

What does an inconsistent system imply about the solutions?

• There are no solutions

• There are infinite solutions

• There is one solution

• The solutions are inconsistent

What is the significance of a row of zeros equaling zero in a matrix?

• It indicates infinite solutions

• It indicates an inconsistent system

• It indicates no solutions

• It indicates a unique solution

Which type of solution is represented by a diagonal of ones in a matrix?

• Unique solution

• Infinite solutions

• No solution

• Inconsistent solution

What does a row of zeros equaling one signify in a matrix system?

• Consistent system

• Unique solution

• Inconsistent system

• Infinite solutions