Matrices Test Review

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

How do you represent a system of equations as a matrix equation?

Back

A system of equations can be represented as a matrix equation 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 product of two matrices?

Back

The product of two matrices is obtained by multiplying the rows of the first matrix by the columns of the second matrix, following the rules of matrix multiplication.

Front

What are the conditions for two matrices to be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Front

What does it mean for two matrices to be equal?

Back

Two matrices are equal if they have the same dimensions and all corresponding elements are equal.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It serves as the additive identity in matrix addition.

Front

How do you find the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

What is the inverse of a matrix?

Back

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

Front

What is a transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.