Matrix Intro

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers 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 perform matrix addition?

Back

Matrix addition is performed by 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

Can you add or subtract matrices of different dimensions?

Back

No, you can only add or subtract matrices that have the same dimensions.

Front

What is the result of subtracting matrix A from matrix B if A = [[1, -8], [-1, 0]] and B = [[5, -8], [-7, 0]]?

Back

The result is B - A = [[4, 0], [-6, 0]].

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 a zero matrix?

Back

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

Front

How do you determine if two matrices can be added or subtracted?

Back

Two matrices can be added or subtracted if they have the same dimensions.

Front

What is the transpose of a matrix?

Back

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