Matrice Operations

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result is a 2x2 matrix.

Front

What is the determinant of a 2x2 matrix?

Back

For a matrix [[a, b], [c, d]], the determinant is ad - bc.

Front

What is the identity matrix for 2x2 matrices?

Back

The identity matrix is [[1, 0], [0, 1]].

Front

Can you multiply a 2x2 matrix by a 2x3 matrix?

Back

Yes, the result will be a 2x3 matrix.

Front

What is the condition for two matrices to be multiplied?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the result of adding two matrices of different dimensions?

Back

It is not possible to add two matrices of different dimensions.

Front

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

Back

A + B = [[6, 8], [10, 12]].

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

What is the zero matrix?

Back

A matrix in which all elements are zero.