AR Final Review DOL - Matrices 12-11-24

Front

What is a matrix?

Back

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

Front

What does the notation AX = B represent?

Back

It represents a linear system where A is a matrix, X is a vector of variables, and B is the resulting vector.

Front

How do you find the inverse of a matrix A (A^-1)?

Back

The inverse of a matrix A is found such that when A is multiplied by A^-1, the result is the identity matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

Front

What are the conditions for matrix multiplication to be possible?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is a 2x2 matrix?

Back

A 2x2 matrix is a matrix with 2 rows and 2 columns, typically represented as [[a, b], [c, d]].

Front

How do you solve a system of equations using matrices?

Back

You can solve a system of equations by expressing it in the form AX = B and finding X using methods like substitution, elimination, or matrix inversion.