MULTIPLYING MATRICES

Front

What is scalar multiplication in the context of matrices?

Back

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

Tags

CCSS.HSN.VM.C.7

Front

What are the conditions for two matrices to be multiplied together?

Back

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

Tags

CCSS.HSN.VM.C.8

Front

If you have a 6x2 matrix, what dimensions can the matrix you multiply it by have?

Back

The second matrix must have 2 rows and can have any number of columns, e.g., 2x12.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The resulting matrix will have the number of rows of the first matrix and the number of columns of the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the dimension of a 5x4 matrix?

Back

A 5x4 matrix has 5 rows and 4 columns.

Front

Can you multiply a 3x4 matrix by a 4x2 matrix? What will be the dimension of the resulting matrix?

Back

Yes, you can multiply them. The resulting matrix will be 3x2.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The multiplication is valid, and the resulting matrix will be 2x2.

Tags

CCSS.HSN.VM.C.8

Front

What does it mean if two matrices cannot be multiplied?

Back

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

Tags

CCSS.HSN.VM.C.8

Front

What is the product of the matrices [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

The product is [[19, 22], [43, 50]].

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The result is always the zero matrix of appropriate dimensions.

Tags

CCSS.HSN.VM.C.8