Matrices Flashcard for Adv. Alg.

Front

What is a matrix?

Back

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

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating the number of rows and the number of columns.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements from each matrix.

Front

What is the result of adding a 2x3 matrix and a 2x3 matrix?

Back

The result is a 2x3 matrix.

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 the dimension of the product of a 4x3 matrix and a 3x2 matrix?

Back

The product will be a 4x2 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 the zero matrix?

Back

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

Front

How do you find the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.