Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

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.

Front

Can two matrices with different dimensions be added?

Back

No, two matrices can only be added if they have the same dimensions.

Front

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

Back

The result is a new matrix where each element is multiplied by the scalar.

Front

What is the Dot Product of two vectors?

Back

The Dot Product is the sum of the products of the corresponding entries of the two sequences of numbers.

Front

How do you determine the number of rows in a matrix?

Back

The number of rows in a matrix is counted from top to bottom.

Front

How do you determine the number of columns in a matrix?

Back

The number of columns in a matrix is counted from left to right.

Front

What is a square matrix?

Back

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

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 the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A^-1, such that A * A^-1 = I, where I is the identity matrix.