Basic Matrix Operations

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 columns.

Front

How do you add two matrices?

Back

You can add two matrices if they have the same dimensions by adding their corresponding elements.

Front

What is the result of subtracting matrix A from matrix B?

Back

The result is a new matrix formed by subtracting corresponding elements of A from B.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements 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

Can you multiply two matrices of different dimensions?

Back

No, you can only multiply matrices when the number of columns in the first matrix equals the number of rows in the second matrix.

Front

What is the result of multiplying a matrix by a zero matrix?

Back

The result is a zero matrix of appropriate dimensions.

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 a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a single number).