Matrix Operations (Add, Subtract, Scalar Multiplication)

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 is the operation of adding two matrices by adding their corresponding elements.

Front

What is matrix subtraction?

Back

Matrix subtraction is the operation of subtracting one matrix from another by subtracting their corresponding elements.

Front

What is scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a constant number).

Front

What are the conditions for matrix addition?

Back

Matrices must have the same dimensions (same number of rows and columns) to be added.

Front

What are the conditions for matrix subtraction?

Back

Matrices must have the same dimensions to be subtracted.

Front

What is the result of adding a 2x2 matrix and a 2x2 matrix?

Back

The result is another 2x2 matrix.

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

If C = [[2, 3], [4, 5]] and D = [[1, 1], [1, 1]], what is C - D?

Back

C - D = [[1, 2], [3, 4]].

Front

What is the result of multiplying a matrix by zero?

Back

The result is a zero matrix of the same dimensions.