Matrices Operations

Front

What is a matrix?

Back

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

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

What is matrix multiplication?

Back

Matrix multiplication involves taking the dot product of rows and columns of two matrices, where the number of columns in the first matrix must equal the number of rows in the second.

Front

What are the conditions for matrix addition?

Back

Matrices can only be added if they have the same dimensions (same number of rows and columns).

Front

What are the conditions for matrix multiplication?

Back

Matrices can be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix.

Front

What is the result of adding the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

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

Front

What is the result of multiplying the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

A * B = [[19, 22], [43, 50]]

Front

What does it mean to find A - B?

Back

Finding A - B means subtracting corresponding elements of matrix B from matrix A.

Front

What is the result of finding B - A for B = [[5, 6], [7, 8]] and A = [[1, 2], [3, 4]]?

Back

B - A = [[4, 4], [4, 4]]

Front

What is a zero matrix?

Back

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