Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

Matrices can be multiplied only if...

Back

the column of the first matrix is equal to the row of the second matrix.

Front

What is the result of the matrix operation A - B?

Back

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

Front

What does a₂₃ represent in a matrix?

Back

It represents the element in the 2nd row and 3rd column of the matrix.

Front

If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

Back

AB has 4 columns.

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the order of a matrix?

Back

The order of a matrix is defined by the number of rows and columns it has, expressed as 'rows x columns'.

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 determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides important properties of the matrix.