Alg 2 ec 4.5 Flashcard (24/25)

Front

What is Cramer's Rule?

Back

Cramer's Rule is a mathematical theorem used to solve systems of linear equations with as many equations as unknowns, using determinants.

Front

How do you set up a system of equations for Cramer's Rule?

Back

To use Cramer's Rule, express the system of equations in the form Ax = b, where A is the coefficient matrix, x is the variable matrix, and b is the constant matrix.

Front

What is the determinant of a 2x2 matrix?

Back

Front

What is the determinant of a 3x3 matrix?

Back

Front

Solve for x and y using Cramer's Rule: 3x + 2y = 16, 7x + y = 19.

Back

(2, 5)

Front

Solve using Cramer's Rule: -2x + 5y + 3z = -25, -4x - 3y - 8z = -39, 6x + 8y - 5z = 14.

Back

(8, -3, 2)

Front

Use Cramer's Rule to solve: -3x + y = 4, -5x + 2y - 4z = -3, -x - 4y - 6z = 11.

Back

(-3, -5, 2)

Front

Solve for x and y using Cramer's Rule: 2x - 3y = -1, y = x - 1.

Back

(4, 3)

Front

What is a coefficient matrix?

Back

A coefficient matrix is a matrix that contains the coefficients of the variables in a system of linear equations.

Front

What is a constant matrix?

Back

A constant matrix is a matrix that contains the constant terms from the right side of the equations in a system of linear equations.