Add/Subtract/Scalar Multiplication/Dimensions of Matrices

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 dimensions of a matrix are defined by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements together.

Front

How do you subtract two matrices?

Back

To subtract two matrices, they must have the same dimensions. Subtract corresponding elements.

Front

What is Scalar Multiplication?

Back

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

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

Back

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

Front

What is the result of multiplying a matrix by a scalar?

Back

The result is a new matrix where each element is multiplied by that scalar.

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 (same number of rows and columns) to be subtracted.