Front

What is a scalar in the context of matrices?

Back

A scalar is a single number that can multiply a matrix, affecting each element of the matrix by that number.

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 are the dimensions of a matrix?

Back

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

Front

How do you perform addition on two matrices?

Back

To add two matrices, you add their corresponding elements together.

Front

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

Back

Each element of the matrix is multiplied by the scalar.

Front

Back

It refers to the value located in the second row and third column of the matrix.

Front

What is the process of subtracting two matrices?

Back

To subtract two matrices, you subtract the corresponding elements of the second matrix from the first.

Front

What happens if you try to multiply two matrices that do not conform to the multiplication rule?

Back

The multiplication cannot be performed; the number of columns in the first matrix must equal the number of rows in the second.

Front

What is the multiplication rule for matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

If matrix A is 2x3 and matrix B is 3x2, what will be the dimensions of the resulting matrix after multiplication?

Back

The resulting matrix will be 2x2.