6.1 Adding and Subtracting Matrices Practice #2

Front

What is a matrix?

Back

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

Front

What is the result of adding two matrices?

Back

The result is a new matrix where each element is the sum of the corresponding elements from the original matrices.

Front

What is the result of subtracting matrix A from matrix B?

Back

The result is a new matrix where each element is the difference of the corresponding elements from matrix B and matrix A.

Front

What do we call each individual number in a matrix?

Back

Element.

Front

What are the dimensions of a matrix?

Back

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

Front

Can matrices of different dimensions be added or subtracted?

Back

No, matrices must have the same dimensions to be added or subtracted.

Front

If matrix A is 2x3 and matrix B is 2x3, what is the dimension of A + B?

Back

The dimension of A + B is also 2x3.

Front

What is the formula for matrix addition?

Back

If A = [[a11, a12], [a21, a22]] and B = [[b11, b12], [b21, b22]], then A + B = [[a11 + b11, a12 + b12], [a21 + b21, a22 + b22]].

Front

What is the formula for matrix subtraction?

Back

If A = [[a11, a12], [a21, a22]] and B = [[b11, b12], [b21, b22]], then A - B = [[a11 - b11, a12 - b12], [a21 - b21, a22 - b22]].

Front

What is the identity matrix?

Back

An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.