Matrices 6.1-6.3

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'. For example, a 3x2 matrix has 3 rows and 2 columns.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements from each matrix.

Front

What is the result of adding the matrices: 11 8 -4 2 and 3 2 -6 -6?

Back

The result is 14 10 -10 -4.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix. The number of columns in the first matrix must equal the number of rows in the second.

Front

What is the result of multiplying the matrices: 20 15 -10 30 -5 0 and 1 8 3?

Back

The result is -20 15 -10 30 -5 0.

Front

What does B - A represent in matrix operations?

Back

B - A represents the subtraction of matrix A from matrix B, which requires both matrices to have the same dimensions.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is a zero matrix?

Back

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

Front

What is a scalar in relation to matrices?

Back

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