Matrices

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 how many rows and columns it contains.

Front

How do you identify the entry of a matrix?

Back

The entry of a matrix is identified by its position, which is given as 'Row x Column'.

Front

What is matrix addition?

Back

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

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding entries 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?

Back

For two matrices A (m x n) and B (n x p) to be multiplied, the number of columns in A must equal the number of rows in B.

Front

What is a zero matrix?

Back

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

Front

What is the identity matrix?

Back

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

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.