Matrices Operations

Front

What is matrix addition?

Back

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

Front

What is the result of adding the following matrices: \( \begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix} + \begin{pmatrix} 8 & 3 \\ -5 & 0 \end{pmatrix} \)?

Back

The result is \( \begin{pmatrix} 11 & 8 \\ -4 & 2 \end{pmatrix} \).

Front

How many rows are in a 5 x 4 matrix?

Back

A 5 x 4 matrix has 5 rows.

Front

What is the product of two matrices?

Back

The product of two matrices is obtained by multiplying the rows of the first matrix by the columns of the second matrix.

Front

What is the result of multiplying the following matrices: \( \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \) and \( \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \)?

Back

The result is \( \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix} \).

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is the result of subtracting the following matrices: \( \begin{pmatrix} 5 & 2 \\ 8 & 3 \end{pmatrix} - \begin{pmatrix} 2 & 6 \\ 0 & 16 \end{pmatrix} \)?

Back

The result is \( \begin{pmatrix} 3 & -4 \\ 8 & -13 \end{pmatrix} \).

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

What are the dimensions of a matrix with 3 rows and 2 columns?

Back

The dimensions are 3 x 2.

Front

What is a square matrix?

Back

A square matrix is a matrix that has the same number of rows and columns.