Matrix Review

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

Can you multiply a 6x2 matrix by a 2x12 matrix?

Back

Yes, you can multiply a 6x2 matrix by a 2x12 matrix because the number of columns in the first matrix (2) matches the number of rows in the second matrix (2).

Front

What is the result of multiplying a 6x2 matrix by a 6x3 matrix?

Back

No product exists because the number of columns in the first matrix (2) does not match the number of rows in the second matrix (6).

Front

What is the dimension (order) of a 2x2 matrix?

Back

The dimension (order) of a 2x2 matrix is (2 x 2), meaning it has 2 rows and 2 columns.

Front

What are the dimensions of a 3x2 matrix?

Back

The dimensions of a 3x2 matrix are 3 rows and 2 columns.

Front

If a matrix has dimensions 2x4, how many elements does it contain?

Back

A 2x4 matrix contains 8 elements (2 rows multiplied by 4 columns).

Front

What is the maximum number of columns in a product of a 6x2 matrix and a 2x12 matrix?

Back

The maximum number of columns in the product is 12, which is the number of columns in the second matrix.

Front

What is the minimum number of rows in a product of a 6x2 matrix and a 2x12 matrix?

Back

The minimum number of rows in the product is 6, which is the number of rows in the first matrix.

Front

What happens if you try to multiply a 2x3 matrix by a 3x2 matrix?

Back

The product will be a 2x2 matrix, as the number of rows from the first matrix (2) and the number of columns from the second matrix (2) determine the dimensions of the product.

Front

What is the identity matrix of size 2x2?

Back

The identity matrix of size 2x2 is: [[1, 0], [0, 1]]. It acts as a multiplicative identity in matrix multiplication.