Unit 4 Flashcard Review - Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

How do you add two matrices?

Back

To add two matrices, add their corresponding elements. The matrices must have the same dimensions.

Front

What is the result of subtracting matrix A from matrix B?

Back

The result is obtained by subtracting corresponding elements of matrix A from matrix B.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 2x3 means 2 rows and 3 columns).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

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

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line, meaning they intersect at every point on that line.

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides information about the matrix's properties.