2.07 Multiplying Matrices

Front

What is the order of a matrix with 2 rows and 6 columns?

Back

2x6

Front

Can you multiply a 4x3 matrix with a 2x4 matrix?

Back

No, you can't multiply them.

Front

What is scalar multiplication in matrices?

Back

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

Front

What is the order of a matrix with 3 rows and 1 column?

Back

3x1

Front

What is the product of the matrices: [[1, 2], [6, -8]] and [[-3, -5], [-5, -11]]?

Back

The product is [[-3, -5], [-5, -11]].

Front

How do you determine the size of the resulting matrix when multiplying two matrices?

Back

The resulting matrix's size is determined by the number of rows in the first matrix and the number of columns in the second matrix.

Front

What is a matrix?

Back

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

Front

What does it mean for matrices to be compatible for multiplication?

Back

Matrices are compatible for multiplication if the number of columns in the first matrix equals the number of rows in the second matrix.

Front

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

Back

The result is a zero matrix of the same order.

Front

If matrix A is 2x3 and matrix B is 3x4, what is the order of the product AB?

Back

The order of the product AB is 2x4.