matrix operations

Front

What is a Matrix?

Back

A set of numbers arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The number of rows and columns in a matrix, expressed as 'rows x columns'.

Front

Can you add two matrices?

Back

Yes, if they have the same dimensions.

Front

Can you subtract two matrices?

Back

Yes, if they have the same dimensions.

Front

What is the result of adding the following matrices: A = [[3, 5], [1, 2]] and B = [[4, 2], [3, 1]]?

Back

A + B = [[7, 7], [4, 3]]

Front

What is the result of subtracting the following matrices: A = [[5, 7], [2, 4]] and B = [[3, 2], [1, 1]]?

Back

A - B = [[2, 5], [1, 3]]

Front

What is the product of a 2x3 matrix and a 3x2 matrix?

Back

A 2x3 matrix can be multiplied by a 3x2 matrix, resulting in a 2x2 matrix.

Front

What is the identity matrix?

Back

A square matrix with ones on the diagonal and zeros elsewhere.

Front

What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

Back

The determinant is ad - bc.

Front

What is a zero matrix?

Back

A matrix in which all elements are zero.