Unit 8 Matrices Flashcard

Front

What is a matrix?

Back

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

Front

What is the order of a matrix?

Back

The order of a matrix is defined by the number of rows and columns it contains, expressed as 'm x n' where m is the number of rows and n is the number of columns.

Front

What is matrix addition?

Back

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

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, and the resulting matrix's order is determined by the outer dimensions.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

How do you solve a matrix equation?

Back

To solve a matrix equation, isolate the variable matrix by using inverse operations, such as multiplying by the inverse of the coefficient matrix.

Front

What is a determinant?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties about the matrix.

Front

What is a system of linear equations?

Back

A system of linear equations is a collection of one or more linear equations involving the same variables.

Front

How can matrices be used to represent a system of equations?

Back

Matrices can represent a system of equations by using a coefficient matrix for the variables and a constant matrix for the solutions.