Algebra 2-Ch3 Test

Front

What is the identity matrix?

Back

The identity matrix is a square matrix that, when multiplied by another matrix, results in that same matrix. It has 1s on the diagonal and 0s elsewhere.

Front

What is scalar multiplication?

Back

Scalar multiplication is an operation that allows you to multiply any matrix by a constant called a scalar.

Front

What is the solution to the system of equations represented by (6, -2)?

Back

The solution (6, -2) indicates the values of the variables that satisfy the system of equations.

Front

What is a scalar in the context of matrices?

Back

A scalar is a constant value that can multiply a matrix.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the result of adding the matrices [11, 8] and [-4, 2]?

Back

The result is [7, 10].

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Front

What is the purpose of the elimination method in solving systems of equations?

Back

The elimination method is used to eliminate one variable to solve for the other variable.

Front

What is a constant matrix?

Back

A constant matrix is a matrix where all the elements are constant values.

Front

What is the role of the determinant in matrix operations?

Back

The determinant helps determine if a matrix is invertible and provides information about the system of equations.