Pre-Calculus Final: Matrix Section

Front

What is matrix addition?

Back

Front

What is matrix multiplication?

Back

Front

What is a scalar multiplication of a matrix?

Back

Front

How do you subtract matrices?

Back

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What is a system of linear equations?

Back

Front

What is the determinant of a 2x2 matrix?

Back

Front

What is an identity matrix?

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Front

What is the inverse of a matrix?

Back

The inverse of a matrix A, denoted A^(-1), is a matrix such that A * A^(-1) = I, where I is the identity matrix. Not all matrices have inverses.

Front

How do you solve a system of equations using matrices?

Back

To solve a system of equations using matrices, you can represent the system in matrix form AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix. Then, find X by calculating X = A^(-1)B.

Front

What is a row echelon form?

Back

Row echelon form is a form of a matrix where all non-zero rows are above any rows of all zeros, and the leading coefficient of a non-zero row is always to the right of the leading coefficient of the previous row.