Matrix Operations & Solving Systems

Front

What is the dimension of the product of two matrices if they can be multiplied?

Back

The product of two matrices will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.

Front

What must be true in order to ADD two matrices?

Back

Their dimensions must be equal.

Front

If matrix A is a 2x2 matrix and matrix B is a 2x3 matrix, what will the dimensions of the solution matrix AB be?

Back

2x3.

Front

What does it mean if the product of two matrices is undefined?

Back

It means that the number of columns in the first matrix does not equal the number of rows in the second matrix.

Front

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

Back

A 2x2 matrix.

Front

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

Back

A 2x2 matrix.

Front

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

Back

A 3x3 matrix.

Front

What is the identity matrix for 2x2 matrices?

Back

[[1, 0], [0, 1]]

Front

What is the zero matrix?

Back

A matrix in which all elements are zero.

Front

How do you determine if two matrices are compatible for multiplication?

Back

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